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Finding the Third Proportional to 175,774,682 and 371,478,362

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Solution

The third proportional to 175,774,682 and 371,478,362 is: 785,074,231.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,774,682 : 371,478,362 = 371,478,362 : x
  2. Step 2: Convert to fraction form
    175,774,682/371,478,362 = 371,478,362/x
  3. Step 3: Cross multiply
    175,774,682x = 371,478,362 × 371,478,362
  4. Step 4: Simplify right side
    175,774,682x = 137,996,173,434,203,040
  5. Step 5: Solve for x
    x = 137,996,173,434,203,040/175,774,682
  6. Step 6: Final answer
    x = 785,074,231.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.