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Finding the Third Proportional to 10,761,370,954 and 15,147,778,061

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Solution

The third proportional to 10,761,370,954 and 15,147,778,061 is: 21,322,114,177.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761,370,954 : 15,147,778,061 = 15,147,778,061 : x
  2. Step 2: Convert to fraction form
    10,761,370,954/15,147,778,061 = 15,147,778,061/x
  3. Step 3: Cross multiply
    10,761,370,954x = 15,147,778,061 × 15,147,778,061
  4. Step 4: Simplify right side
    10,761,370,954x = 229,455,180,185,312,919,552
  5. Step 5: Solve for x
    x = 229,455,180,185,312,919,552/10,761,370,954
  6. Step 6: Final answer
    x = 21,322,114,177.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.