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Finding the Third Proportional to 886,244,400 and 2,051,495,415

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Solution

The third proportional to 886,244,400 and 2,051,495,415 is: 4,748,840,655.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,244,400 : 2,051,495,415 = 2,051,495,415 : x
  2. Step 2: Convert to fraction form
    886,244,400/2,051,495,415 = 2,051,495,415/x
  3. Step 3: Cross multiply
    886,244,400x = 2,051,495,415 × 2,051,495,415
  4. Step 4: Simplify right side
    886,244,400x = 4,208,633,437,766,022,144
  5. Step 5: Solve for x
    x = 4,208,633,437,766,022,144/886,244,400
  6. Step 6: Final answer
    x = 4,748,840,655.88

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.