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Finding the Third Proportional to 71,290,416 and 152,812,434

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Solution

The third proportional to 71,290,416 and 152,812,434 is: 327,556,511.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,290,416 : 152,812,434 = 152,812,434 : x
  2. Step 2: Convert to fraction form
    71,290,416/152,812,434 = 152,812,434/x
  3. Step 3: Cross multiply
    71,290,416x = 152,812,434 × 152,812,434
  4. Step 4: Simplify right side
    71,290,416x = 23,351,639,985,004,356
  5. Step 5: Solve for x
    x = 23,351,639,985,004,356/71,290,416
  6. Step 6: Final answer
    x = 327,556,511.73

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.