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Finding the Third Proportional to 566,595,384.75 and 1,225,337,645.25

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Solution

The third proportional to 566,595,384.75 and 1,225,337,645.25 is: 2,649,955,127.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,595,384.75 : 1,225,337,645.25 = 1,225,337,645.25 : x
  2. Step 2: Convert to fraction form
    566,595,384.75/1,225,337,645.25 = 1,225,337,645.25/x
  3. Step 3: Cross multiply
    566,595,384.75x = 1,225,337,645.25 × 1,225,337,645.25
  4. Step 4: Simplify right side
    566,595,384.75x = 1,501,452,344,866,814,720
  5. Step 5: Solve for x
    x = 1,501,452,344,866,814,720/566,595,384.75
  6. Step 6: Final answer
    x = 2,649,955,127.20

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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.