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Finding the Third Proportional to 38,308,951,705 and 89,506,996,903

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Solution

The third proportional to 38,308,951,705 and 89,506,996,903 is: 209,128,732,007.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,308,951,705 : 89,506,996,903 = 89,506,996,903 : x
  2. Step 2: Convert to fraction form
    38,308,951,705/89,506,996,903 = 89,506,996,903/x
  3. Step 3: Cross multiply
    38,308,951,705x = 89,506,996,903 × 89,506,996,903
  4. Step 4: Simplify right side
    38,308,951,705x = 8,011,502,494,593,651,310,592
  5. Step 5: Solve for x
    x = 8,011,502,494,593,651,310,592/38,308,951,705
  6. Step 6: Final answer
    x = 209,128,732,007.25

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.