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Finding the Third Proportional to 47,916,220 and 78,234,605

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Solution

The third proportional to 47,916,220 and 78,234,605 is: 127,736,566.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,916,220 : 78,234,605 = 78,234,605 : x
  2. Step 2: Convert to fraction form
    47,916,220/78,234,605 = 78,234,605/x
  3. Step 3: Cross multiply
    47,916,220x = 78,234,605 × 78,234,605
  4. Step 4: Simplify right side
    47,916,220x = 6,120,653,419,506,025
  5. Step 5: Solve for x
    x = 6,120,653,419,506,025/47,916,220
  6. Step 6: Final answer
    x = 127,736,566.44

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.