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Finding the Third Proportional to 110,584,782 and 245,714,076

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Solution

The third proportional to 110,584,782 and 245,714,076 is: 545,964,879.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,584,782 : 245,714,076 = 245,714,076 : x
  2. Step 2: Convert to fraction form
    110,584,782/245,714,076 = 245,714,076/x
  3. Step 3: Cross multiply
    110,584,782x = 245,714,076 × 245,714,076
  4. Step 4: Simplify right side
    110,584,782x = 60,375,407,144,533,776
  5. Step 5: Solve for x
    x = 60,375,407,144,533,776/110,584,782
  6. Step 6: Final answer
    x = 545,964,879.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.