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Finding the Third Proportional to 215,358,266 and 473,780,020

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Solution

The third proportional to 215,358,266 and 473,780,020 is: 1,042,298,080.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,358,266 : 473,780,020 = 473,780,020 : x
  2. Step 2: Convert to fraction form
    215,358,266/473,780,020 = 473,780,020/x
  3. Step 3: Cross multiply
    215,358,266x = 473,780,020 × 473,780,020
  4. Step 4: Simplify right side
    215,358,266x = 224,467,507,351,200,384
  5. Step 5: Solve for x
    x = 224,467,507,351,200,384/215,358,266
  6. Step 6: Final answer
    x = 1,042,298,080.87

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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.