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Finding the Third Proportional to 941,982,564,846 and 2,054,454,060,372

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Solution

The third proportional to 941,982,564,846 and 2,054,454,060,372 is: 4,480,742,684,307.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    941,982,564,846 : 2,054,454,060,372 = 2,054,454,060,372 : x
  2. Step 2: Convert to fraction form
    941,982,564,846/2,054,454,060,372 = 2,054,454,060,372/x
  3. Step 3: Cross multiply
    941,982,564,846x = 2,054,454,060,372 × 2,054,454,060,372
  4. Step 4: Simplify right side
    941,982,564,846x = 4,220,781,486,178,997,284,896,768
  5. Step 5: Solve for x
    x = 4,220,781,486,178,997,284,896,768/941,982,564,846
  6. Step 6: Final answer
    x = 4,480,742,684,307.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.