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Finding the Third Proportional to 663,450,264 and 982,120,464

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Solution

The third proportional to 663,450,264 and 982,120,464 is: 1,453,855,184.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,450,264 : 982,120,464 = 982,120,464 : x
  2. Step 2: Convert to fraction form
    663,450,264/982,120,464 = 982,120,464/x
  3. Step 3: Cross multiply
    663,450,264x = 982,120,464 × 982,120,464
  4. Step 4: Simplify right side
    663,450,264x = 964,560,605,807,575,296
  5. Step 5: Solve for x
    x = 964,560,605,807,575,296/663,450,264
  6. Step 6: Final answer
    x = 1,453,855,184.25

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.