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Finding the Third Proportional to 227,834,043 and 497,064,618

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Solution

The third proportional to 227,834,043 and 497,064,618 is: 1,084,443,883.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,834,043 : 497,064,618 = 497,064,618 : x
  2. Step 2: Convert to fraction form
    227,834,043/497,064,618 = 497,064,618/x
  3. Step 3: Cross multiply
    227,834,043x = 497,064,618 × 497,064,618
  4. Step 4: Simplify right side
    227,834,043x = 247,073,234,467,485,920
  5. Step 5: Solve for x
    x = 247,073,234,467,485,920/227,834,043
  6. Step 6: Final answer
    x = 1,084,443,883.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.