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Finding the Third Proportional to 283,153,115.25 and 667,470,618

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Solution

The third proportional to 283,153,115.25 and 667,470,618 is: 1,573,413,824.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,153,115.25 : 667,470,618 = 667,470,618 : x
  2. Step 2: Convert to fraction form
    283,153,115.25/667,470,618 = 667,470,618/x
  3. Step 3: Cross multiply
    283,153,115.25x = 667,470,618 × 667,470,618
  4. Step 4: Simplify right side
    283,153,115.25x = 445,517,025,893,301,952
  5. Step 5: Solve for x
    x = 445,517,025,893,301,952/283,153,115.25
  6. Step 6: Final answer
    x = 1,573,413,824.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.