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Finding the Third Proportional to 60,897,480,635 and 126,806,566,327

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Solution

The third proportional to 60,897,480,635 and 126,806,566,327 is: 264,048,776,664.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,897,480,635 : 126,806,566,327 = 126,806,566,327 : x
  2. Step 2: Convert to fraction form
    60,897,480,635/126,806,566,327 = 126,806,566,327/x
  3. Step 3: Cross multiply
    60,897,480,635x = 126,806,566,327 × 126,806,566,327
  4. Step 4: Simplify right side
    60,897,480,635x = 16,079,905,263,643,850,178,560
  5. Step 5: Solve for x
    x = 16,079,905,263,643,850,178,560/60,897,480,635
  6. Step 6: Final answer
    x = 264,048,776,664.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.