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Finding the Third Proportional to 576,254,036 and 1,261,797,160

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Solution

The third proportional to 576,254,036 and 1,261,797,160 is: 2,762,899,647.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,254,036 : 1,261,797,160 = 1,261,797,160 : x
  2. Step 2: Convert to fraction form
    576,254,036/1,261,797,160 = 1,261,797,160/x
  3. Step 3: Cross multiply
    576,254,036x = 1,261,797,160 × 1,261,797,160
  4. Step 4: Simplify right side
    576,254,036x = 1,592,132,072,984,065,536
  5. Step 5: Solve for x
    x = 1,592,132,072,984,065,536/576,254,036
  6. Step 6: Final answer
    x = 2,762,899,647.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.