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Finding the Third Proportional to 1,005,619,408 and 2,164,928,036

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Solution

The third proportional to 1,005,619,408 and 2,164,928,036 is: 4,660,722,897.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,619,408 : 2,164,928,036 = 2,164,928,036 : x
  2. Step 2: Convert to fraction form
    1,005,619,408/2,164,928,036 = 2,164,928,036/x
  3. Step 3: Cross multiply
    1,005,619,408x = 2,164,928,036 × 2,164,928,036
  4. Step 4: Simplify right side
    1,005,619,408x = 4,686,913,401,058,817,024
  5. Step 5: Solve for x
    x = 4,686,913,401,058,817,024/1,005,619,408
  6. Step 6: Final answer
    x = 4,660,722,897.52

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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.