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Finding the Third Proportional to 564,612,968 and 1,223,025,360

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Solution

The third proportional to 564,612,968 and 1,223,025,360 is: 2,649,232,511.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,612,968 : 1,223,025,360 = 1,223,025,360 : x
  2. Step 2: Convert to fraction form
    564,612,968/1,223,025,360 = 1,223,025,360/x
  3. Step 3: Cross multiply
    564,612,968x = 1,223,025,360 × 1,223,025,360
  4. Step 4: Simplify right side
    564,612,968x = 1,495,791,031,203,129,600
  5. Step 5: Solve for x
    x = 1,495,791,031,203,129,600/564,612,968
  6. Step 6: Final answer
    x = 2,649,232,511.43

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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.