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Finding the Third Proportional to 7,744,310,352 and 11,708,665,554

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Solution

The third proportional to 7,744,310,352 and 11,708,665,554 is: 17,702,396,059.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744,310,352 : 11,708,665,554 = 11,708,665,554 : x
  2. Step 2: Convert to fraction form
    7,744,310,352/11,708,665,554 = 11,708,665,554/x
  3. Step 3: Cross multiply
    7,744,310,352x = 11,708,665,554 × 11,708,665,554
  4. Step 4: Simplify right side
    7,744,310,352x = 137,092,849,055,426,134,016
  5. Step 5: Solve for x
    x = 137,092,849,055,426,134,016/7,744,310,352
  6. Step 6: Final answer
    x = 17,702,396,059.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.