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Finding the Third Proportional to 1,873,707,409 and 4,115,182,371

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Solution

The third proportional to 1,873,707,409 and 4,115,182,371 is: 9,038,084,529.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873,707,409 : 4,115,182,371 = 4,115,182,371 : x
  2. Step 2: Convert to fraction form
    1,873,707,409/4,115,182,371 = 4,115,182,371/x
  3. Step 3: Cross multiply
    1,873,707,409x = 4,115,182,371 × 4,115,182,371
  4. Step 4: Simplify right side
    1,873,707,409x = 16,934,725,946,589,181,952
  5. Step 5: Solve for x
    x = 16,934,725,946,589,181,952/1,873,707,409
  6. Step 6: Final answer
    x = 9,038,084,529.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.