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Finding the Third Proportional to 222,715,024 and 490,655,264

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Solution

The third proportional to 222,715,024 and 490,655,264 is: 1,080,944,535.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,715,024 : 490,655,264 = 490,655,264 : x
  2. Step 2: Convert to fraction form
    222,715,024/490,655,264 = 490,655,264/x
  3. Step 3: Cross multiply
    222,715,024x = 490,655,264 × 490,655,264
  4. Step 4: Simplify right side
    222,715,024x = 240,742,588,090,909,696
  5. Step 5: Solve for x
    x = 240,742,588,090,909,696/222,715,024
  6. Step 6: Final answer
    x = 1,080,944,535.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.