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Finding the Third Proportional to 27,151,754,312 and 58,453,142,076

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Solution

The third proportional to 27,151,754,312 and 58,453,142,076 is: 125,839,744,249.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,151,754,312 : 58,453,142,076 = 58,453,142,076 : x
  2. Step 2: Convert to fraction form
    27,151,754,312/58,453,142,076 = 58,453,142,076/x
  3. Step 3: Cross multiply
    27,151,754,312x = 58,453,142,076 × 58,453,142,076
  4. Step 4: Simplify right side
    27,151,754,312x = 3,416,769,818,557,041,606,656
  5. Step 5: Solve for x
    x = 3,416,769,818,557,041,606,656/27,151,754,312
  6. Step 6: Final answer
    x = 125,839,744,249.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.