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Finding the Third Proportional to 1,005,619,412 and 2,164,928,044

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Solution

The third proportional to 1,005,619,412 and 2,164,928,044 is: 4,660,722,913.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,619,412 : 2,164,928,044 = 2,164,928,044 : x
  2. Step 2: Convert to fraction form
    1,005,619,412/2,164,928,044 = 2,164,928,044/x
  3. Step 3: Cross multiply
    1,005,619,412x = 2,164,928,044 × 2,164,928,044
  4. Step 4: Simplify right side
    1,005,619,412x = 4,686,913,435,697,666,048
  5. Step 5: Solve for x
    x = 4,686,913,435,697,666,048/1,005,619,412
  6. Step 6: Final answer
    x = 4,660,722,913.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.