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Finding the Third Proportional to 5,972,940 and 9,223,506

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Solution

The third proportional to 5,972,940 and 9,223,506 is: 14,243,080.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972,940 : 9,223,506 = 9,223,506 : x
  2. Step 2: Convert to fraction form
    5,972,940/9,223,506 = 9,223,506/x
  3. Step 3: Cross multiply
    5,972,940x = 9,223,506 × 9,223,506
  4. Step 4: Simplify right side
    5,972,940x = 85,073,062,932,036
  5. Step 5: Solve for x
    x = 85,073,062,932,036/5,972,940
  6. Step 6: Final answer
    x = 14,243,080.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.