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Finding the Third Proportional to 10,682,013,320 and 15,703,033,446

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Solution

The third proportional to 10,682,013,320 and 15,703,033,446 is: 23,084,155,769.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682,013,320 : 15,703,033,446 = 15,703,033,446 : x
  2. Step 2: Convert to fraction form
    10,682,013,320/15,703,033,446 = 15,703,033,446/x
  3. Step 3: Cross multiply
    10,682,013,320x = 15,703,033,446 × 15,703,033,446
  4. Step 4: Simplify right side
    10,682,013,320x = 246,585,259,406,194,638,848
  5. Step 5: Solve for x
    x = 246,585,259,406,194,638,848/10,682,013,320
  6. Step 6: Final answer
    x = 23,084,155,769.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.