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Finding the Third Proportional to 47,157,506,157 and 102,271,680,870

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Solution

The third proportional to 47,157,506,157 and 102,271,680,870 is: 221,799,190,846.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,157,506,157 : 102,271,680,870 = 102,271,680,870 : x
  2. Step 2: Convert to fraction form
    47,157,506,157/102,271,680,870 = 102,271,680,870/x
  3. Step 3: Cross multiply
    47,157,506,157x = 102,271,680,870 × 102,271,680,870
  4. Step 4: Simplify right side
    47,157,506,157x = 10,459,496,707,975,123,304,448
  5. Step 5: Solve for x
    x = 10,459,496,707,975,123,304,448/47,157,506,157
  6. Step 6: Final answer
    x = 221,799,190,846.79

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.