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Finding the Third Proportional to 16,527,898 and 35,711,543

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Solution

The third proportional to 16,527,898 and 35,711,543 is: 77,161,312.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,527,898 : 35,711,543 = 35,711,543 : x
  2. Step 2: Convert to fraction form
    16,527,898/35,711,543 = 35,711,543/x
  3. Step 3: Cross multiply
    16,527,898x = 35,711,543 × 35,711,543
  4. Step 4: Simplify right side
    16,527,898x = 1,275,314,303,440,849
  5. Step 5: Solve for x
    x = 1,275,314,303,440,849/16,527,898
  6. Step 6: Final answer
    x = 77,161,312.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.