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Finding the Third Proportional to 62,827,488,729 and 100,019,281,234.50

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Solution

The third proportional to 62,827,488,729 and 100,019,281,234.50 is: 159,227,383,125.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,827,488,729 : 100,019,281,234.50 = 100,019,281,234.50 : x
  2. Step 2: Convert to fraction form
    62,827,488,729/100,019,281,234.50 = 100,019,281,234.50/x
  3. Step 3: Cross multiply
    62,827,488,729x = 100,019,281,234.50 × 100,019,281,234.50
  4. Step 4: Simplify right side
    62,827,488,729x = 10,003,856,618,666,003,005,440
  5. Step 5: Solve for x
    x = 10,003,856,618,666,003,005,440/62,827,488,729
  6. Step 6: Final answer
    x = 159,227,383,125.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.