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Finding the Third Proportional to 2,414,889,988,376 and 5,169,014,633,008

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Solution

The third proportional to 2,414,889,988,376 and 5,169,014,633,008 is: 11,064,152,986,206.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414,889,988,376 : 5,169,014,633,008 = 5,169,014,633,008 : x
  2. Step 2: Convert to fraction form
    2,414,889,988,376/5,169,014,633,008 = 5,169,014,633,008/x
  3. Step 3: Cross multiply
    2,414,889,988,376x = 5,169,014,633,008 × 5,169,014,633,008
  4. Step 4: Simplify right side
    2,414,889,988,376x = 26,718,712,276,250,830,605,123,584
  5. Step 5: Solve for x
    x = 26,718,712,276,250,830,605,123,584/2,414,889,988,376
  6. Step 6: Final answer
    x = 11,064,152,986,206.64

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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.