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Finding the Third Proportional to 680,548,496 and 1,055,816,032

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Solution

The third proportional to 680,548,496 and 1,055,816,032 is: 1,638,013,308.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,548,496 : 1,055,816,032 = 1,055,816,032 : x
  2. Step 2: Convert to fraction form
    680,548,496/1,055,816,032 = 1,055,816,032/x
  3. Step 3: Cross multiply
    680,548,496x = 1,055,816,032 × 1,055,816,032
  4. Step 4: Simplify right side
    680,548,496x = 1,114,747,493,428,225,024
  5. Step 5: Solve for x
    x = 1,114,747,493,428,225,024/680,548,496
  6. Step 6: Final answer
    x = 1,638,013,308.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.