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Finding the Third Proportional to 21,943,645,038 and 48,079,565,685

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Solution

The third proportional to 21,943,645,038 and 48,079,565,685 is: 105,344,605,805.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,943,645,038 : 48,079,565,685 = 48,079,565,685 : x
  2. Step 2: Convert to fraction form
    21,943,645,038/48,079,565,685 = 48,079,565,685/x
  3. Step 3: Cross multiply
    21,943,645,038x = 48,079,565,685 × 48,079,565,685
  4. Step 4: Simplify right side
    21,943,645,038x = 2,311,644,636,458,229,432,320
  5. Step 5: Solve for x
    x = 2,311,644,636,458,229,432,320/21,943,645,038
  6. Step 6: Final answer
    x = 105,344,605,805.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.