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Finding the Third Proportional to 1,039,984,623 and 2,116,289,862

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Solution

The third proportional to 1,039,984,623 and 2,116,289,862 is: 4,306,489,423.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039,984,623 : 2,116,289,862 = 2,116,289,862 : x
  2. Step 2: Convert to fraction form
    1,039,984,623/2,116,289,862 = 2,116,289,862/x
  3. Step 3: Cross multiply
    1,039,984,623x = 2,116,289,862 × 2,116,289,862
  4. Step 4: Simplify right side
    1,039,984,623x = 4,478,682,780,003,979,264
  5. Step 5: Solve for x
    x = 4,478,682,780,003,979,264/1,039,984,623
  6. Step 6: Final answer
    x = 4,306,489,423.93

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.