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Finding the Third Proportional to 52,982,178,912 and 81,437,407,618

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Solution

The third proportional to 52,982,178,912 and 81,437,407,618 is: 125,175,134,275.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,982,178,912 : 81,437,407,618 = 81,437,407,618 : x
  2. Step 2: Convert to fraction form
    52,982,178,912/81,437,407,618 = 81,437,407,618/x
  3. Step 3: Cross multiply
    52,982,178,912x = 81,437,407,618 × 81,437,407,618
  4. Step 4: Simplify right side
    52,982,178,912x = 6,632,051,359,540,284,751,872
  5. Step 5: Solve for x
    x = 6,632,051,359,540,284,751,872/52,982,178,912
  6. Step 6: Final answer
    x = 125,175,134,275.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.