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Finding the Third Proportional to 1,693,806,936 and 3,669,011,877

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Solution

The third proportional to 1,693,806,936 and 3,669,011,877 is: 7,947,569,387.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693,806,936 : 3,669,011,877 = 3,669,011,877 : x
  2. Step 2: Convert to fraction form
    1,693,806,936/3,669,011,877 = 3,669,011,877/x
  3. Step 3: Cross multiply
    1,693,806,936x = 3,669,011,877 × 3,669,011,877
  4. Step 4: Simplify right side
    1,693,806,936x = 13,461,648,153,567,064,064
  5. Step 5: Solve for x
    x = 13,461,648,153,567,064,064/1,693,806,936
  6. Step 6: Final answer
    x = 7,947,569,387.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.