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Finding the Third Proportional to 62,478,736,998 and 95,179,900,407

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Solution

The third proportional to 62,478,736,998 and 95,179,900,407 is: 144,996,744,120.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,478,736,998 : 95,179,900,407 = 95,179,900,407 : x
  2. Step 2: Convert to fraction form
    62,478,736,998/95,179,900,407 = 95,179,900,407/x
  3. Step 3: Cross multiply
    62,478,736,998x = 95,179,900,407 × 95,179,900,407
  4. Step 4: Simplify right side
    62,478,736,998x = 9,059,213,441,486,438,793,216
  5. Step 5: Solve for x
    x = 9,059,213,441,486,438,793,216/62,478,736,998
  6. Step 6: Final answer
    x = 144,996,744,120.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.