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Finding the Third Proportional to 59,948,539,727,202 and 80,884,656,039,340

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Solution

The third proportional to 59,948,539,727,202 and 80,884,656,039,340 is: 109,132,392,755,076.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,948,539,727,202 : 80,884,656,039,340 = 80,884,656,039,340 : x
  2. Step 2: Convert to fraction form
    59,948,539,727,202/80,884,656,039,340 = 80,884,656,039,340/x
  3. Step 3: Cross multiply
    59,948,539,727,202x = 80,884,656,039,340 × 80,884,656,039,340
  4. Step 4: Simplify right side
    59,948,539,727,202x = 6,542,327,582,602,340,274,345,607,168
  5. Step 5: Solve for x
    x = 6,542,327,582,602,340,274,345,607,168/59,948,539,727,202
  6. Step 6: Final answer
    x = 109,132,392,755,076.92

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.