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Finding the Third Proportional to 3,881,130,521 and 8,442,275,239

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Solution

The third proportional to 3,881,130,521 and 8,442,275,239 is: 18,363,724,390.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881,130,521 : 8,442,275,239 = 8,442,275,239 : x
  2. Step 2: Convert to fraction form
    3,881,130,521/8,442,275,239 = 8,442,275,239/x
  3. Step 3: Cross multiply
    3,881,130,521x = 8,442,275,239 × 8,442,275,239
  4. Step 4: Simplify right side
    3,881,130,521x = 71,272,011,211,032,510,464
  5. Step 5: Solve for x
    x = 71,272,011,211,032,510,464/3,881,130,521
  6. Step 6: Final answer
    x = 18,363,724,390.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.