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Finding the Third Proportional to 2,447,415 and 5,249,106

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Solution

The third proportional to 2,447,415 and 5,249,106 is: 11,258,047.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447,415 : 5,249,106 = 5,249,106 : x
  2. Step 2: Convert to fraction form
    2,447,415/5,249,106 = 5,249,106/x
  3. Step 3: Cross multiply
    2,447,415x = 5,249,106 × 5,249,106
  4. Step 4: Simplify right side
    2,447,415x = 27,553,113,799,236
  5. Step 5: Solve for x
    x = 27,553,113,799,236/2,447,415
  6. Step 6: Final answer
    x = 11,258,047.29

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