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Finding the Third Proportional to 31,788,381 and 68,658,618

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Solution

The third proportional to 31,788,381 and 68,658,618 is: 148,293,359.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,788,381 : 68,658,618 = 68,658,618 : x
  2. Step 2: Convert to fraction form
    31,788,381/68,658,618 = 68,658,618/x
  3. Step 3: Cross multiply
    31,788,381x = 68,658,618 × 68,658,618
  4. Step 4: Simplify right side
    31,788,381x = 4,714,005,825,669,924
  5. Step 5: Solve for x
    x = 4,714,005,825,669,924/31,788,381
  6. Step 6: Final answer
    x = 148,293,359.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.