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Finding the Third Proportional to 6,492,160.13 and 13,884,878.25

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Solution

The third proportional to 6,492,160.13 and 13,884,878.25 is: 29,695,793.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492,160.13 : 13,884,878.25 = 13,884,878.25 : x
  2. Step 2: Convert to fraction form
    6,492,160.13/13,884,878.25 = 13,884,878.25/x
  3. Step 3: Cross multiply
    6,492,160.13x = 13,884,878.25 × 13,884,878.25
  4. Step 4: Simplify right side
    6,492,160.13x = 192,789,844,017,323.06
  5. Step 5: Solve for x
    x = 192,789,844,017,323.06/6,492,160.13
  6. Step 6: Final answer
    x = 29,695,793.13

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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.