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Finding the Third Proportional to 617,124,217.50 and 1,317,943,001.25

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Solution

The third proportional to 617,124,217.50 and 1,317,943,001.25 is: 2,814,625,816.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,124,217.50 : 1,317,943,001.25 = 1,317,943,001.25 : x
  2. Step 2: Convert to fraction form
    617,124,217.50/1,317,943,001.25 = 1,317,943,001.25/x
  3. Step 3: Cross multiply
    617,124,217.50x = 1,317,943,001.25 × 1,317,943,001.25
  4. Step 4: Simplify right side
    617,124,217.50x = 1,736,973,754,543,857,408
  5. Step 5: Solve for x
    x = 1,736,973,754,543,857,408/617,124,217.50
  6. Step 6: Final answer
    x = 2,814,625,816.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.