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Finding the Third Proportional to 2,887,110,736,671 and 6,118,432,470,928.50

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Solution

The third proportional to 2,887,110,736,671 and 6,118,432,470,928.50 is: 12,966,324,923,330.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887,110,736,671 : 6,118,432,470,928.50 = 6,118,432,470,928.50 : x
  2. Step 2: Convert to fraction form
    2,887,110,736,671/6,118,432,470,928.50 = 6,118,432,470,928.50/x
  3. Step 3: Cross multiply
    2,887,110,736,671x = 6,118,432,470,928.50 × 6,118,432,470,928.50
  4. Step 4: Simplify right side
    2,887,110,736,671x = 37,435,215,901,312,230,927,368,192
  5. Step 5: Solve for x
    x = 37,435,215,901,312,230,927,368,192/2,887,110,736,671
  6. Step 6: Final answer
    x = 12,966,324,923,330.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.