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Finding the Third Proportional to 13,864,769.25 and 29,921,702.25

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Solution

The third proportional to 13,864,769.25 and 29,921,702.25 is: 64,574,335.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,864,769.25 : 29,921,702.25 = 29,921,702.25 : x
  2. Step 2: Convert to fraction form
    13,864,769.25/29,921,702.25 = 29,921,702.25/x
  3. Step 3: Cross multiply
    13,864,769.25x = 29,921,702.25 × 29,921,702.25
  4. Step 4: Simplify right side
    13,864,769.25x = 895,308,265,537,655
  5. Step 5: Solve for x
    x = 895,308,265,537,655/13,864,769.25
  6. Step 6: Final answer
    x = 64,574,335.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.