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Finding the Third Proportional to 2,071,099.13 and 4,430,062.13

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Solution

The third proportional to 2,071,099.13 and 4,430,062.13 is: 9,475,862.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071,099.13 : 4,430,062.13 = 4,430,062.13 : x
  2. Step 2: Convert to fraction form
    2,071,099.13/4,430,062.13 = 4,430,062.13/x
  3. Step 3: Cross multiply
    2,071,099.13x = 4,430,062.13 × 4,430,062.13
  4. Step 4: Simplify right side
    2,071,099.13x = 19,625,450,431,359.52
  5. Step 5: Solve for x
    x = 19,625,450,431,359.52/2,071,099.13
  6. Step 6: Final answer
    x = 9,475,862.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.