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Finding the Third Proportional to 564,612,972 and 1,223,025,368

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Solution

The third proportional to 564,612,972 and 1,223,025,368 is: 2,649,232,527.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,612,972 : 1,223,025,368 = 1,223,025,368 : x
  2. Step 2: Convert to fraction form
    564,612,972/1,223,025,368 = 1,223,025,368/x
  3. Step 3: Cross multiply
    564,612,972x = 1,223,025,368 × 1,223,025,368
  4. Step 4: Simplify right side
    564,612,972x = 1,495,791,050,771,535,360
  5. Step 5: Solve for x
    x = 1,495,791,050,771,535,360/564,612,972
  6. Step 6: Final answer
    x = 2,649,232,527.32

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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.