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Finding the Third Proportional to 18,710,287,767 and 41,603,900,845.50

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Solution

The third proportional to 18,710,287,767 and 41,603,900,845.50 is: 92,509,777,888.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,710,287,767 : 41,603,900,845.50 = 41,603,900,845.50 : x
  2. Step 2: Convert to fraction form
    18,710,287,767/41,603,900,845.50 = 41,603,900,845.50/x
  3. Step 3: Cross multiply
    18,710,287,767x = 41,603,900,845.50 × 41,603,900,845.50
  4. Step 4: Simplify right side
    18,710,287,767x = 1,730,884,565,562,195,705,856
  5. Step 5: Solve for x
    x = 1,730,884,565,562,195,705,856/18,710,287,767
  6. Step 6: Final answer
    x = 92,509,777,888.88

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.