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Finding the Third Proportional to 1,572,750,621 and 3,407,206,410

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Solution

The third proportional to 1,572,750,621 and 3,407,206,410 is: 7,381,370,806.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572,750,621 : 3,407,206,410 = 3,407,206,410 : x
  2. Step 2: Convert to fraction form
    1,572,750,621/3,407,206,410 = 3,407,206,410/x
  3. Step 3: Cross multiply
    1,572,750,621x = 3,407,206,410 × 3,407,206,410
  4. Step 4: Simplify right side
    1,572,750,621x = 11,609,055,520,345,088,000
  5. Step 5: Solve for x
    x = 11,609,055,520,345,088,000/1,572,750,621
  6. Step 6: Final answer
    x = 7,381,370,806.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.