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Finding the Third Proportional to 47,822,967 and 76,132,953

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Solution

The third proportional to 47,822,967 and 76,132,953 is: 121,201,734.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,822,967 : 76,132,953 = 76,132,953 : x
  2. Step 2: Convert to fraction form
    47,822,967/76,132,953 = 76,132,953/x
  3. Step 3: Cross multiply
    47,822,967x = 76,132,953 × 76,132,953
  4. Step 4: Simplify right side
    47,822,967x = 5,796,226,532,500,209
  5. Step 5: Solve for x
    x = 5,796,226,532,500,209/47,822,967
  6. Step 6: Final answer
    x = 121,201,734.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.