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Finding the Third Proportional to 44,630,380,287 and 97,105,708,912.50

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Solution

The third proportional to 44,630,380,287 and 97,105,708,912.50 is: 211,280,267,897.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,630,380,287 : 97,105,708,912.50 = 97,105,708,912.50 : x
  2. Step 2: Convert to fraction form
    44,630,380,287/97,105,708,912.50 = 97,105,708,912.50/x
  3. Step 3: Cross multiply
    44,630,380,287x = 97,105,708,912.50 × 97,105,708,912.50
  4. Step 4: Simplify right side
    44,630,380,287x = 9,429,518,703,399,182,270,464
  5. Step 5: Solve for x
    x = 9,429,518,703,399,182,270,464/44,630,380,287
  6. Step 6: Final answer
    x = 211,280,267,897.38

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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.