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Finding the Third Proportional to 4,597,192.13 and 9,670,807.13

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Solution

The third proportional to 4,597,192.13 and 9,670,807.13 is: 20,343,833.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597,192.13 : 9,670,807.13 = 9,670,807.13 : x
  2. Step 2: Convert to fraction form
    4,597,192.13/9,670,807.13 = 9,670,807.13/x
  3. Step 3: Cross multiply
    4,597,192.13x = 9,670,807.13 × 9,670,807.13
  4. Step 4: Simplify right side
    4,597,192.13x = 93,524,510,448,950.77
  5. Step 5: Solve for x
    x = 93,524,510,448,950.77/4,597,192.13
  6. Step 6: Final answer
    x = 20,343,833.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.