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Finding the Third Proportional to 564,612,974 and 1,223,025,372

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Solution

The third proportional to 564,612,974 and 1,223,025,372 is: 2,649,232,535.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,612,974 : 1,223,025,372 = 1,223,025,372 : x
  2. Step 2: Convert to fraction form
    564,612,974/1,223,025,372 = 1,223,025,372/x
  3. Step 3: Cross multiply
    564,612,974x = 1,223,025,372 × 1,223,025,372
  4. Step 4: Simplify right side
    564,612,974x = 1,495,791,060,555,738,368
  5. Step 5: Solve for x
    x = 1,495,791,060,555,738,368/564,612,974
  6. Step 6: Final answer
    x = 2,649,232,535.27

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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.