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Finding the Third Proportional to 47,050,905 and 101,918,418

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Solution

The third proportional to 47,050,905 and 101,918,418 is: 220,768,631.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,050,905 : 101,918,418 = 101,918,418 : x
  2. Step 2: Convert to fraction form
    47,050,905/101,918,418 = 101,918,418/x
  3. Step 3: Cross multiply
    47,050,905x = 101,918,418 × 101,918,418
  4. Step 4: Simplify right side
    47,050,905x = 10,387,363,927,622,724
  5. Step 5: Solve for x
    x = 10,387,363,927,622,724/47,050,905
  6. Step 6: Final answer
    x = 220,768,631.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.