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Finding the Third Proportional to 2,095,480.13 and 4,602,450.38

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Solution

The third proportional to 2,095,480.13 and 4,602,450.38 is: 10,108,685.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095,480.13 : 4,602,450.38 = 4,602,450.38 : x
  2. Step 2: Convert to fraction form
    2,095,480.13/4,602,450.38 = 4,602,450.38/x
  3. Step 3: Cross multiply
    2,095,480.13x = 4,602,450.38 × 4,602,450.38
  4. Step 4: Simplify right side
    2,095,480.13x = 21,182,549,454,337.64
  5. Step 5: Solve for x
    x = 21,182,549,454,337.64/2,095,480.13
  6. Step 6: Final answer
    x = 10,108,685.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.