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Finding the Third Proportional to 460,350,990 and 986,201,820

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Solution

The third proportional to 460,350,990 and 986,201,820 is: 2,112,722,793.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,350,990 : 986,201,820 = 986,201,820 : x
  2. Step 2: Convert to fraction form
    460,350,990/986,201,820 = 986,201,820/x
  3. Step 3: Cross multiply
    460,350,990x = 986,201,820 × 986,201,820
  4. Step 4: Simplify right side
    460,350,990x = 972,594,029,771,312,384
  5. Step 5: Solve for x
    x = 972,594,029,771,312,384/460,350,990
  6. Step 6: Final answer
    x = 2,112,722,793.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.