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Finding the Third Proportional to 830,830,802 and 1,315,599,447

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Solution

The third proportional to 830,830,802 and 1,315,599,447 is: 2,083,218,268.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,830,802 : 1,315,599,447 = 1,315,599,447 : x
  2. Step 2: Convert to fraction form
    830,830,802/1,315,599,447 = 1,315,599,447/x
  3. Step 3: Cross multiply
    830,830,802x = 1,315,599,447 × 1,315,599,447
  4. Step 4: Simplify right side
    830,830,802x = 1,730,801,904,946,705,920
  5. Step 5: Solve for x
    x = 1,730,801,904,946,705,920/830,830,802
  6. Step 6: Final answer
    x = 2,083,218,268.73

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.