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Finding the Third Proportional to 830,830,800 and 1,315,599,444

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Solution

The third proportional to 830,830,800 and 1,315,599,444 is: 2,083,218,264.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,830,800 : 1,315,599,444 = 1,315,599,444 : x
  2. Step 2: Convert to fraction form
    830,830,800/1,315,599,444 = 1,315,599,444/x
  3. Step 3: Cross multiply
    830,830,800x = 1,315,599,444 × 1,315,599,444
  4. Step 4: Simplify right side
    830,830,800x = 1,730,801,897,053,109,248
  5. Step 5: Solve for x
    x = 1,730,801,897,053,109,248/830,830,800
  6. Step 6: Final answer
    x = 2,083,218,264.24

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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.