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Finding the Third Proportional to 913,526,600 and 1,370,569,920

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Solution

The third proportional to 913,526,600 and 1,370,569,920 is: 2,056,274,995.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,526,600 : 1,370,569,920 = 1,370,569,920 : x
  2. Step 2: Convert to fraction form
    913,526,600/1,370,569,920 = 1,370,569,920/x
  3. Step 3: Cross multiply
    913,526,600x = 1,370,569,920 × 1,370,569,920
  4. Step 4: Simplify right side
    913,526,600x = 1,878,461,905,608,806,400
  5. Step 5: Solve for x
    x = 1,878,461,905,608,806,400/913,526,600
  6. Step 6: Final answer
    x = 2,056,274,995.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.