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Finding the Third Proportional to 2,447,420 and 5,249,128

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Solution

The third proportional to 2,447,420 and 5,249,128 is: 11,258,118.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447,420 : 5,249,128 = 5,249,128 : x
  2. Step 2: Convert to fraction form
    2,447,420/5,249,128 = 5,249,128/x
  3. Step 3: Cross multiply
    2,447,420x = 5,249,128 × 5,249,128
  4. Step 4: Simplify right side
    2,447,420x = 27,553,344,760,384
  5. Step 5: Solve for x
    x = 27,553,344,760,384/2,447,420
  6. Step 6: Final answer
    x = 11,258,118.66

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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.