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Finding the Third Proportional to 9,736,321.50 and 15,417,216

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Solution

The third proportional to 9,736,321.50 and 15,417,216 is: 24,412,767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,736,321.50 : 15,417,216 = 15,417,216 : x
  2. Step 2: Convert to fraction form
    9,736,321.50/15,417,216 = 15,417,216/x
  3. Step 3: Cross multiply
    9,736,321.50x = 15,417,216 × 15,417,216
  4. Step 4: Simplify right side
    9,736,321.50x = 237,690,549,190,656
  5. Step 5: Solve for x
    x = 237,690,549,190,656/9,736,321.50
  6. Step 6: Final answer
    x = 24,412,767.10

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.