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Finding the Third Proportional to 9,896,345.86 and 15,323,369.27

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Solution

The third proportional to 9,896,345.86 and 15,323,369.27 is: 23,726,499.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896,345.86 : 15,323,369.27 = 15,323,369.27 : x
  2. Step 2: Convert to fraction form
    9,896,345.86/15,323,369.27 = 15,323,369.27/x
  3. Step 3: Cross multiply
    9,896,345.86x = 15,323,369.27 × 15,323,369.27
  4. Step 4: Simplify right side
    9,896,345.86x = 234,805,645,890,113.19
  5. Step 5: Solve for x
    x = 234,805,645,890,113.19/9,896,345.86
  6. Step 6: Final answer
    x = 23,726,499.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.