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Finding the Third Proportional to 9,662,341.50 and 21,002,017.50

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Solution

The third proportional to 9,662,341.50 and 21,002,017.50 is: 45,649,880.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662,341.50 : 21,002,017.50 = 21,002,017.50 : x
  2. Step 2: Convert to fraction form
    9,662,341.50/21,002,017.50 = 21,002,017.50/x
  3. Step 3: Cross multiply
    9,662,341.50x = 21,002,017.50 × 21,002,017.50
  4. Step 4: Simplify right side
    9,662,341.50x = 441,084,739,070,306.25
  5. Step 5: Solve for x
    x = 441,084,739,070,306.25/9,662,341.50
  6. Step 6: Final answer
    x = 45,649,880.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.