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Finding the Third Proportional to 10,744,535,658 and 23,121,658,068

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Solution

The third proportional to 10,744,535,658 and 23,121,658,068 is: 49,756,554,292.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744,535,658 : 23,121,658,068 = 23,121,658,068 : x
  2. Step 2: Convert to fraction form
    10,744,535,658/23,121,658,068 = 23,121,658,068/x
  3. Step 3: Cross multiply
    10,744,535,658x = 23,121,658,068 × 23,121,658,068
  4. Step 4: Simplify right side
    10,744,535,658x = 534,611,071,813,509,513,216
  5. Step 5: Solve for x
    x = 534,611,071,813,509,513,216/10,744,535,658
  6. Step 6: Final answer
    x = 49,756,554,292.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.