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Finding the Third Proportional to 13,837,641 and 30,281,280

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Solution

The third proportional to 13,837,641 and 30,281,280 is: 66,265,335.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,837,641 : 30,281,280 = 30,281,280 : x
  2. Step 2: Convert to fraction form
    13,837,641/30,281,280 = 30,281,280/x
  3. Step 3: Cross multiply
    13,837,641x = 30,281,280 × 30,281,280
  4. Step 4: Simplify right side
    13,837,641x = 916,955,918,438,400
  5. Step 5: Solve for x
    x = 916,955,918,438,400/13,837,641
  6. Step 6: Final answer
    x = 66,265,335.14

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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.