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Finding the Third Proportional to 124,196,175,720 and 270,152,805,600

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Solution

The third proportional to 124,196,175,720 and 270,152,805,600 is: 587,639,176,089.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,196,175,720 : 270,152,805,600 = 270,152,805,600 : x
  2. Step 2: Convert to fraction form
    124,196,175,720/270,152,805,600 = 270,152,805,600/x
  3. Step 3: Cross multiply
    124,196,175,720x = 270,152,805,600 × 270,152,805,600
  4. Step 4: Simplify right side
    124,196,175,720x = 72,982,538,373,551,387,312,128
  5. Step 5: Solve for x
    x = 72,982,538,373,551,387,312,128/124,196,175,720
  6. Step 6: Final answer
    x = 587,639,176,089.37

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