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Finding the Third Proportional to 124,618,768 and 272,692,256

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Solution

The third proportional to 124,618,768 and 272,692,256 is: 596,708,406.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,618,768 : 272,692,256 = 272,692,256 : x
  2. Step 2: Convert to fraction form
    124,618,768/272,692,256 = 272,692,256/x
  3. Step 3: Cross multiply
    124,618,768x = 272,692,256 × 272,692,256
  4. Step 4: Simplify right side
    124,618,768x = 74,361,066,482,369,536
  5. Step 5: Solve for x
    x = 74,361,066,482,369,536/124,618,768
  6. Step 6: Final answer
    x = 596,708,406.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.