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Finding the Third Proportional to 9,615,293.25 and 14,868,419.25

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Solution

The third proportional to 9,615,293.25 and 14,868,419.25 is: 22,991,487.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615,293.25 : 14,868,419.25 = 14,868,419.25 : x
  2. Step 2: Convert to fraction form
    9,615,293.25/14,868,419.25 = 14,868,419.25/x
  3. Step 3: Cross multiply
    9,615,293.25x = 14,868,419.25 × 14,868,419.25
  4. Step 4: Simplify right side
    9,615,293.25x = 221,069,890,993,770.56
  5. Step 5: Solve for x
    x = 221,069,890,993,770.56/9,615,293.25
  6. Step 6: Final answer
    x = 22,991,487.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.