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Finding the Third Proportional to 9,635,490,008 and 14,730,177,982

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Solution

The third proportional to 9,635,490,008 and 14,730,177,982 is: 22,518,641,314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635,490,008 : 14,730,177,982 = 14,730,177,982 : x
  2. Step 2: Convert to fraction form
    9,635,490,008/14,730,177,982 = 14,730,177,982/x
  3. Step 3: Cross multiply
    9,635,490,008x = 14,730,177,982 × 14,730,177,982
  4. Step 4: Simplify right side
    9,635,490,008x = 216,978,143,381,397,602,304
  5. Step 5: Solve for x
    x = 216,978,143,381,397,602,304/9,635,490,008
  6. Step 6: Final answer
    x = 22,518,641,314.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.