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Finding the Third Proportional to 13,862,967.75 and 30,913,488

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Solution

The third proportional to 13,862,967.75 and 30,913,488 is: 68,935,004.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,862,967.75 : 30,913,488 = 30,913,488 : x
  2. Step 2: Convert to fraction form
    13,862,967.75/30,913,488 = 30,913,488/x
  3. Step 3: Cross multiply
    13,862,967.75x = 30,913,488 × 30,913,488
  4. Step 4: Simplify right side
    13,862,967.75x = 955,643,740,326,144
  5. Step 5: Solve for x
    x = 955,643,740,326,144/13,862,967.75
  6. Step 6: Final answer
    x = 68,935,004.22

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.