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Finding the Third Proportional to 426,331,648.50 and 927,735,015

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Solution

The third proportional to 426,331,648.50 and 927,735,015 is: 2,018,832,664.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,331,648.50 : 927,735,015 = 927,735,015 : x
  2. Step 2: Convert to fraction form
    426,331,648.50/927,735,015 = 927,735,015/x
  3. Step 3: Cross multiply
    426,331,648.50x = 927,735,015 × 927,735,015
  4. Step 4: Simplify right side
    426,331,648.50x = 860,692,258,057,050,240
  5. Step 5: Solve for x
    x = 860,692,258,057,050,240/426,331,648.50
  6. Step 6: Final answer
    x = 2,018,832,664.86

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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.