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Finding the Third Proportional to 35,377,023 and 76,984,566

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Solution

The third proportional to 35,377,023 and 76,984,566 is: 167,527,476.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,377,023 : 76,984,566 = 76,984,566 : x
  2. Step 2: Convert to fraction form
    35,377,023/76,984,566 = 76,984,566/x
  3. Step 3: Cross multiply
    35,377,023x = 76,984,566 × 76,984,566
  4. Step 4: Simplify right side
    35,377,023x = 5,926,623,402,208,356
  5. Step 5: Solve for x
    x = 5,926,623,402,208,356/35,377,023
  6. Step 6: Final answer
    x = 167,527,476.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.