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Finding the Third Proportional to 6,876,776,678,472 and 14,719,577,046,048

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Solution

The third proportional to 6,876,776,678,472 and 14,719,577,046,048 is: 31,506,904,839,999.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876,776,678,472 : 14,719,577,046,048 = 14,719,577,046,048 : x
  2. Step 2: Convert to fraction form
    6,876,776,678,472/14,719,577,046,048 = 14,719,577,046,048/x
  3. Step 3: Cross multiply
    6,876,776,678,472x = 14,719,577,046,048 × 14,719,577,046,048
  4. Step 4: Simplify right side
    6,876,776,678,472x = 216,665,948,414,543,169,532,723,200
  5. Step 5: Solve for x
    x = 216,665,948,414,543,169,532,723,200/6,876,776,678,472
  6. Step 6: Final answer
    x = 31,506,904,839,999.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.