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Finding the Third Proportional to 5,204,627,890 and 7,928,973,534

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Solution

The third proportional to 5,204,627,890 and 7,928,973,534 is: 12,079,369,098.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204,627,890 : 7,928,973,534 = 7,928,973,534 : x
  2. Step 2: Convert to fraction form
    5,204,627,890/7,928,973,534 = 7,928,973,534/x
  3. Step 3: Cross multiply
    5,204,627,890x = 7,928,973,534 × 7,928,973,534
  4. Step 4: Simplify right side
    5,204,627,890x = 62,868,621,302,872,449,024
  5. Step 5: Solve for x
    x = 62,868,621,302,872,449,024/5,204,627,890
  6. Step 6: Final answer
    x = 12,079,369,098.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.