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Finding the Third Proportional to 8,948,677,905 and 13,460,377,581

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Solution

The third proportional to 8,948,677,905 and 13,460,377,581 is: 20,246,763,437.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,948,677,905 : 13,460,377,581 = 13,460,377,581 : x
  2. Step 2: Convert to fraction form
    8,948,677,905/13,460,377,581 = 13,460,377,581/x
  3. Step 3: Cross multiply
    8,948,677,905x = 13,460,377,581 × 13,460,377,581
  4. Step 4: Simplify right side
    8,948,677,905x = 181,181,764,623,087,403,008
  5. Step 5: Solve for x
    x = 181,181,764,623,087,403,008/8,948,677,905
  6. Step 6: Final answer
    x = 20,246,763,437.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.