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Finding the Third Proportional to 283,596,654 and 615,594,048

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Solution

The third proportional to 283,596,654 and 615,594,048 is: 1,336,250,010.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,596,654 : 615,594,048 = 615,594,048 : x
  2. Step 2: Convert to fraction form
    283,596,654/615,594,048 = 615,594,048/x
  3. Step 3: Cross multiply
    283,596,654x = 615,594,048 × 615,594,048
  4. Step 4: Simplify right side
    283,596,654x = 378,956,031,933,026,304
  5. Step 5: Solve for x
    x = 378,956,031,933,026,304/283,596,654
  6. Step 6: Final answer
    x = 1,336,250,010.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.