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Finding the Third Proportional to 514,129,545 and 783,240,799.50

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Solution

The third proportional to 514,129,545 and 783,240,799.50 is: 1,193,213,181.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,129,545 : 783,240,799.50 = 783,240,799.50 : x
  2. Step 2: Convert to fraction form
    514,129,545/783,240,799.50 = 783,240,799.50/x
  3. Step 3: Cross multiply
    514,129,545x = 783,240,799.50 × 783,240,799.50
  4. Step 4: Simplify right side
    514,129,545x = 613,466,150,001,399,168
  5. Step 5: Solve for x
    x = 613,466,150,001,399,168/514,129,545
  6. Step 6: Final answer
    x = 1,193,213,181.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.