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Finding the Third Proportional to 7,386,399 and 11,346,413

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Solution

The third proportional to 7,386,399 and 11,346,413 is: 17,429,479.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,386,399 : 11,346,413 = 11,346,413 : x
  2. Step 2: Convert to fraction form
    7,386,399/11,346,413 = 11,346,413/x
  3. Step 3: Cross multiply
    7,386,399x = 11,346,413 × 11,346,413
  4. Step 4: Simplify right side
    7,386,399x = 128,741,087,966,569
  5. Step 5: Solve for x
    x = 128,741,087,966,569/7,386,399
  6. Step 6: Final answer
    x = 17,429,479.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.