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Finding the Third Proportional to 1,700,484,329,842.50 and 3,747,581,531,350

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Solution

The third proportional to 1,700,484,329,842.50 and 3,747,581,531,350 is: 8,259,039,549,877.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700,484,329,842.50 : 3,747,581,531,350 = 3,747,581,531,350 : x
  2. Step 2: Convert to fraction form
    1,700,484,329,842.50/3,747,581,531,350 = 3,747,581,531,350/x
  3. Step 3: Cross multiply
    1,700,484,329,842.50x = 3,747,581,531,350 × 3,747,581,531,350
  4. Step 4: Simplify right side
    1,700,484,329,842.50x = 14,044,367,334,115,611,848,474,624
  5. Step 5: Solve for x
    x = 14,044,367,334,115,611,848,474,624/1,700,484,329,842.50
  6. Step 6: Final answer
    x = 8,259,039,549,877.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.