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Finding the Third Proportional to 4,732,840,872 and 7,385,778,648

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Solution

The third proportional to 4,732,840,872 and 7,385,778,648 is: 11,525,789,206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732,840,872 : 7,385,778,648 = 7,385,778,648 : x
  2. Step 2: Convert to fraction form
    4,732,840,872/7,385,778,648 = 7,385,778,648/x
  3. Step 3: Cross multiply
    4,732,840,872x = 7,385,778,648 × 7,385,778,648
  4. Step 4: Simplify right side
    4,732,840,872x = 54,549,726,237,252,706,304
  5. Step 5: Solve for x
    x = 54,549,726,237,252,706,304/4,732,840,872
  6. Step 6: Final answer
    x = 11,525,789,206.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.