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Finding the Third Proportional to 3,142,711,776 and 4,369,689,522

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Solution

The third proportional to 3,142,711,776 and 4,369,689,522 is: 6,075,704,003.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142,711,776 : 4,369,689,522 = 4,369,689,522 : x
  2. Step 2: Convert to fraction form
    3,142,711,776/4,369,689,522 = 4,369,689,522/x
  3. Step 3: Cross multiply
    3,142,711,776x = 4,369,689,522 × 4,369,689,522
  4. Step 4: Simplify right side
    3,142,711,776x = 19,094,186,518,676,586,496
  5. Step 5: Solve for x
    x = 19,094,186,518,676,586,496/3,142,711,776
  6. Step 6: Final answer
    x = 6,075,704,003.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.