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Finding the Third Proportional to 2,591,612,682 and 4,173,350,319

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Solution

The third proportional to 2,591,612,682 and 4,173,350,319 is: 6,720,469,075.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591,612,682 : 4,173,350,319 = 4,173,350,319 : x
  2. Step 2: Convert to fraction form
    2,591,612,682/4,173,350,319 = 4,173,350,319/x
  3. Step 3: Cross multiply
    2,591,612,682x = 4,173,350,319 × 4,173,350,319
  4. Step 4: Simplify right side
    2,591,612,682x = 17,416,852,885,097,402,368
  5. Step 5: Solve for x
    x = 17,416,852,885,097,402,368/2,591,612,682
  6. Step 6: Final answer
    x = 6,720,469,075.52

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.