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Finding the Third Proportional to 2,754,791,552,700 and 5,967,979,482,104

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Solution

The third proportional to 2,754,791,552,700 and 5,967,979,482,104 is: 12,929,028,718,672.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754,791,552,700 : 5,967,979,482,104 = 5,967,979,482,104 : x
  2. Step 2: Convert to fraction form
    2,754,791,552,700/5,967,979,482,104 = 5,967,979,482,104/x
  3. Step 3: Cross multiply
    2,754,791,552,700x = 5,967,979,482,104 × 5,967,979,482,104
  4. Step 4: Simplify right side
    2,754,791,552,700x = 35,616,779,098,814,329,468,747,776
  5. Step 5: Solve for x
    x = 35,616,779,098,814,329,468,747,776/2,754,791,552,700
  6. Step 6: Final answer
    x = 12,929,028,718,672.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.