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Finding the Third Proportional to 4,304,350,713,089 and 9,486,065,187,256

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Solution

The third proportional to 4,304,350,713,089 and 9,486,065,187,256 is: 20,905,692,573,617.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,304,350,713,089 : 9,486,065,187,256 = 9,486,065,187,256 : x
  2. Step 2: Convert to fraction form
    4,304,350,713,089/9,486,065,187,256 = 9,486,065,187,256/x
  3. Step 3: Cross multiply
    4,304,350,713,089x = 9,486,065,187,256 × 9,486,065,187,256
  4. Step 4: Simplify right side
    4,304,350,713,089x = 89,985,432,736,870,217,247,883,264
  5. Step 5: Solve for x
    x = 89,985,432,736,870,217,247,883,264/4,304,350,713,089
  6. Step 6: Final answer
    x = 20,905,692,573,617.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.