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Finding the Third Proportional to 2,883,468,356 and 4,466,871,102

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Solution

The third proportional to 2,883,468,356 and 4,466,871,102 is: 6,919,769,866.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883,468,356 : 4,466,871,102 = 4,466,871,102 : x
  2. Step 2: Convert to fraction form
    2,883,468,356/4,466,871,102 = 4,466,871,102/x
  3. Step 3: Cross multiply
    2,883,468,356x = 4,466,871,102 × 4,466,871,102
  4. Step 4: Simplify right side
    2,883,468,356x = 19,952,937,441,882,693,632
  5. Step 5: Solve for x
    x = 19,952,937,441,882,693,632/2,883,468,356
  6. Step 6: Final answer
    x = 6,919,769,866.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.