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Finding the Third Proportional to 1,000,270,761,877.80 and 1,349,600,097,935.30

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Solution

The third proportional to 1,000,270,761,877.80 and 1,349,600,097,935.30 is: 1,820,927,386,628.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,270,761,877.80 : 1,349,600,097,935.30 = 1,349,600,097,935.30 : x
  2. Step 2: Convert to fraction form
    1,000,270,761,877.80/1,349,600,097,935.30 = 1,349,600,097,935.30/x
  3. Step 3: Cross multiply
    1,000,270,761,877.80x = 1,349,600,097,935.30 × 1,349,600,097,935.30
  4. Step 4: Simplify right side
    1,000,270,761,877.80x = 1,821,420,424,346,971,601,371,136
  5. Step 5: Solve for x
    x = 1,821,420,424,346,971,601,371,136/1,000,270,761,877.80
  6. Step 6: Final answer
    x = 1,820,927,386,628.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.