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Finding the Third Proportional to 913,628,164 and 1,353,850,692

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Solution

The third proportional to 913,628,164 and 1,353,850,692 is: 2,006,190,010.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,628,164 : 1,353,850,692 = 1,353,850,692 : x
  2. Step 2: Convert to fraction form
    913,628,164/1,353,850,692 = 1,353,850,692/x
  3. Step 3: Cross multiply
    913,628,164x = 1,353,850,692 × 1,353,850,692
  4. Step 4: Simplify right side
    913,628,164x = 1,832,911,696,228,878,848
  5. Step 5: Solve for x
    x = 1,832,911,696,228,878,848/913,628,164
  6. Step 6: Final answer
    x = 2,006,190,010.83

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.