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Finding the Third Proportional to 1,762,608,470 and 2,666,582,266

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Solution

The third proportional to 1,762,608,470 and 2,666,582,266 is: 4,034,169,302.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762,608,470 : 2,666,582,266 = 2,666,582,266 : x
  2. Step 2: Convert to fraction form
    1,762,608,470/2,666,582,266 = 2,666,582,266/x
  3. Step 3: Cross multiply
    1,762,608,470x = 2,666,582,266 × 2,666,582,266
  4. Step 4: Simplify right side
    1,762,608,470x = 7,110,660,981,345,694,720
  5. Step 5: Solve for x
    x = 7,110,660,981,345,694,720/1,762,608,470
  6. Step 6: Final answer
    x = 4,034,169,302.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.