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Finding the Third Proportional to 10,357,836.75 and 15,680,707.13

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Solution

The third proportional to 10,357,836.75 and 15,680,707.13 is: 23,738,989.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357,836.75 : 15,680,707.13 = 15,680,707.13 : x
  2. Step 2: Convert to fraction form
    10,357,836.75/15,680,707.13 = 15,680,707.13/x
  3. Step 3: Cross multiply
    10,357,836.75x = 15,680,707.13 × 15,680,707.13
  4. Step 4: Simplify right side
    10,357,836.75x = 245,884,575,940,025.75
  5. Step 5: Solve for x
    x = 245,884,575,940,025.75/10,357,836.75
  6. Step 6: Final answer
    x = 23,738,989.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.