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Finding the Third Proportional to 263,887,752 and 402,656,988

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Solution

The third proportional to 263,887,752 and 402,656,988 is: 614,400,057.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,887,752 : 402,656,988 = 402,656,988 : x
  2. Step 2: Convert to fraction form
    263,887,752/402,656,988 = 402,656,988/x
  3. Step 3: Cross multiply
    263,887,752x = 402,656,988 × 402,656,988
  4. Step 4: Simplify right side
    263,887,752x = 162,132,649,985,232,128
  5. Step 5: Solve for x
    x = 162,132,649,985,232,128/263,887,752
  6. Step 6: Final answer
    x = 614,400,057.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.