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Finding the Third Proportional to 3,023,386,128 and 4,323,447,576

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Solution

The third proportional to 3,023,386,128 and 4,323,447,576 is: 6,182,537,774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023,386,128 : 4,323,447,576 = 4,323,447,576 : x
  2. Step 2: Convert to fraction form
    3,023,386,128/4,323,447,576 = 4,323,447,576/x
  3. Step 3: Cross multiply
    3,023,386,128x = 4,323,447,576 × 4,323,447,576
  4. Step 4: Simplify right side
    3,023,386,128x = 18,692,198,942,420,275,200
  5. Step 5: Solve for x
    x = 18,692,198,942,420,275,200/3,023,386,128
  6. Step 6: Final answer
    x = 6,182,537,774.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.