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Finding the Third Proportional to 7,099,574 and 15,542,506

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Solution

The third proportional to 7,099,574 and 15,542,506 is: 34,025,913.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099,574 : 15,542,506 = 15,542,506 : x
  2. Step 2: Convert to fraction form
    7,099,574/15,542,506 = 15,542,506/x
  3. Step 3: Cross multiply
    7,099,574x = 15,542,506 × 15,542,506
  4. Step 4: Simplify right side
    7,099,574x = 241,569,492,760,036
  5. Step 5: Solve for x
    x = 241,569,492,760,036/7,099,574
  6. Step 6: Final answer
    x = 34,025,913.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.