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Finding the Third Proportional to 49,316,778 and 78,541,407

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Solution

The third proportional to 49,316,778 and 78,541,407 is: 125,084,258.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,316,778 : 78,541,407 = 78,541,407 : x
  2. Step 2: Convert to fraction form
    49,316,778/78,541,407 = 78,541,407/x
  3. Step 3: Cross multiply
    49,316,778x = 78,541,407 × 78,541,407
  4. Step 4: Simplify right side
    49,316,778x = 6,168,752,613,539,649
  5. Step 5: Solve for x
    x = 6,168,752,613,539,649/49,316,778
  6. Step 6: Final answer
    x = 125,084,258.62

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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.