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Finding the Third Proportional to 370,003,277 and 822,733,444

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Solution

The third proportional to 370,003,277 and 822,733,444 is: 1,829,417,094.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,003,277 : 822,733,444 = 822,733,444 : x
  2. Step 2: Convert to fraction form
    370,003,277/822,733,444 = 822,733,444/x
  3. Step 3: Cross multiply
    370,003,277x = 822,733,444 × 822,733,444
  4. Step 4: Simplify right side
    370,003,277x = 676,890,319,876,101,120
  5. Step 5: Solve for x
    x = 676,890,319,876,101,120/370,003,277
  6. Step 6: Final answer
    x = 1,829,417,094.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.