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Finding the Third Proportional to 2,447,408 and 5,249,101

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Solution

The third proportional to 2,447,408 and 5,249,101 is: 11,258,058.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447,408 : 5,249,101 = 5,249,101 : x
  2. Step 2: Convert to fraction form
    2,447,408/5,249,101 = 5,249,101/x
  3. Step 3: Cross multiply
    2,447,408x = 5,249,101 × 5,249,101
  4. Step 4: Simplify right side
    2,447,408x = 27,553,061,308,201
  5. Step 5: Solve for x
    x = 27,553,061,308,201/2,447,408
  6. Step 6: Final answer
    x = 11,258,058.04

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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.