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Finding the Third Proportional to 2,466,365,855.50 and 5,820,182,048.50

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Solution

The third proportional to 2,466,365,855.50 and 5,820,182,048.50 is: 13,734,588,079.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466,365,855.50 : 5,820,182,048.50 = 5,820,182,048.50 : x
  2. Step 2: Convert to fraction form
    2,466,365,855.50/5,820,182,048.50 = 5,820,182,048.50/x
  3. Step 3: Cross multiply
    2,466,365,855.50x = 5,820,182,048.50 × 5,820,182,048.50
  4. Step 4: Simplify right side
    2,466,365,855.50x = 33,874,519,077,681,655,808
  5. Step 5: Solve for x
    x = 33,874,519,077,681,655,808/2,466,365,855.50
  6. Step 6: Final answer
    x = 13,734,588,079.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.