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Finding the Third Proportional to 15,734,250 and 24,300,121.50

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Solution

The third proportional to 15,734,250 and 24,300,121.50 is: 37,529,332.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,734,250 : 24,300,121.50 = 24,300,121.50 : x
  2. Step 2: Convert to fraction form
    15,734,250/24,300,121.50 = 24,300,121.50/x
  3. Step 3: Cross multiply
    15,734,250x = 24,300,121.50 × 24,300,121.50
  4. Step 4: Simplify right side
    15,734,250x = 590,495,904,914,762.25
  5. Step 5: Solve for x
    x = 590,495,904,914,762.25/15,734,250
  6. Step 6: Final answer
    x = 37,529,332.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.