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Finding the Third Proportional to 4,494,998.81 and 9,708,233.48

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Solution

The third proportional to 4,494,998.81 and 9,708,233.48 is: 20,967,702.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494,998.81 : 9,708,233.48 = 9,708,233.48 : x
  2. Step 2: Convert to fraction form
    4,494,998.81/9,708,233.48 = 9,708,233.48/x
  3. Step 3: Cross multiply
    4,494,998.81x = 9,708,233.48 × 9,708,233.48
  4. Step 4: Simplify right side
    4,494,998.81x = 94,249,797,387,139.95
  5. Step 5: Solve for x
    x = 94,249,797,387,139.95/4,494,998.81
  6. Step 6: Final answer
    x = 20,967,702.40

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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.