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Finding the Third Proportional to 1,034,744,726,820 and 2,264,554,473,516

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Solution

The third proportional to 1,034,744,726,820 and 2,264,554,473,516 is: 4,956,011,691,194.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,744,726,820 : 2,264,554,473,516 = 2,264,554,473,516 : x
  2. Step 2: Convert to fraction form
    1,034,744,726,820/2,264,554,473,516 = 2,264,554,473,516/x
  3. Step 3: Cross multiply
    1,034,744,726,820x = 2,264,554,473,516 × 2,264,554,473,516
  4. Step 4: Simplify right side
    1,034,744,726,820x = 5,128,206,963,521,327,456,059,392
  5. Step 5: Solve for x
    x = 5,128,206,963,521,327,456,059,392/1,034,744,726,820
  6. Step 6: Final answer
    x = 4,956,011,691,194.06

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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.