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Finding the Third Proportional to 690,759,153.13 and 1,502,546,612.88

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Solution

The third proportional to 690,759,153.13 and 1,502,546,612.88 is: 3,268,355,277.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,759,153.13 : 1,502,546,612.88 = 1,502,546,612.88 : x
  2. Step 2: Convert to fraction form
    690,759,153.13/1,502,546,612.88 = 1,502,546,612.88/x
  3. Step 3: Cross multiply
    690,759,153.13x = 1,502,546,612.88 × 1,502,546,612.88
  4. Step 4: Simplify right side
    690,759,153.13x = 2,257,646,323,862,135,040
  5. Step 5: Solve for x
    x = 2,257,646,323,862,135,040/690,759,153.13
  6. Step 6: Final answer
    x = 3,268,355,277.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.