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Finding the Third Proportional to 349,725,552.75 and 753,929,332.88

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Solution

The third proportional to 349,725,552.75 and 753,929,332.88 is: 1,625,301,424.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,725,552.75 : 753,929,332.88 = 753,929,332.88 : x
  2. Step 2: Convert to fraction form
    349,725,552.75/753,929,332.88 = 753,929,332.88/x
  3. Step 3: Cross multiply
    349,725,552.75x = 753,929,332.88 × 753,929,332.88
  4. Step 4: Simplify right side
    349,725,552.75x = 568,409,438,969,342,528
  5. Step 5: Solve for x
    x = 568,409,438,969,342,528/349,725,552.75
  6. Step 6: Final answer
    x = 1,625,301,424.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.