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Finding the Third Proportional to 40,768,868,420,060 and 89,430,799,721,878

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Solution

The third proportional to 40,768,868,420,060 and 89,430,799,721,878 is: 196,175,862,829,672.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,768,868,420,060 : 89,430,799,721,878 = 89,430,799,721,878 : x
  2. Step 2: Convert to fraction form
    40,768,868,420,060/89,430,799,721,878 = 89,430,799,721,878/x
  3. Step 3: Cross multiply
    40,768,868,420,060x = 89,430,799,721,878 × 89,430,799,721,878
  4. Step 4: Simplify right side
    40,768,868,420,060x = 7,997,867,938,894,654,458,149,470,208
  5. Step 5: Solve for x
    x = 7,997,867,938,894,654,458,149,470,208/40,768,868,420,060
  6. Step 6: Final answer
    x = 196,175,862,829,672.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.