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Finding the Third Proportional to 593,148,336,439 and 1,287,413,420,555

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Solution

The third proportional to 593,148,336,439 and 1,287,413,420,555 is: 2,794,298,177,376.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,148,336,439 : 1,287,413,420,555 = 1,287,413,420,555 : x
  2. Step 2: Convert to fraction form
    593,148,336,439/1,287,413,420,555 = 1,287,413,420,555/x
  3. Step 3: Cross multiply
    593,148,336,439x = 1,287,413,420,555 × 1,287,413,420,555
  4. Step 4: Simplify right side
    593,148,336,439x = 1,657,433,315,425,125,358,632,960
  5. Step 5: Solve for x
    x = 1,657,433,315,425,125,358,632,960/593,148,336,439
  6. Step 6: Final answer
    x = 2,794,298,177,376.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.