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Finding the Third Proportional to 5,210,336,491.88 and 8,050,833,749.25

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Solution

The third proportional to 5,210,336,491.88 and 8,050,833,749.25 is: 12,439,872,963.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210,336,491.88 : 8,050,833,749.25 = 8,050,833,749.25 : x
  2. Step 2: Convert to fraction form
    5,210,336,491.88/8,050,833,749.25 = 8,050,833,749.25/x
  3. Step 3: Cross multiply
    5,210,336,491.88x = 8,050,833,749.25 × 8,050,833,749.25
  4. Step 4: Simplify right side
    5,210,336,491.88x = 64,815,924,058,062,815,232
  5. Step 5: Solve for x
    x = 64,815,924,058,062,815,232/5,210,336,491.88
  6. Step 6: Final answer
    x = 12,439,872,963.89

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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.