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Finding the Third Proportional to 454,876,776 and 982,382,352

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Solution

The third proportional to 454,876,776 and 982,382,352 is: 2,121,618,724.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,876,776 : 982,382,352 = 982,382,352 : x
  2. Step 2: Convert to fraction form
    454,876,776/982,382,352 = 982,382,352/x
  3. Step 3: Cross multiply
    454,876,776x = 982,382,352 × 982,382,352
  4. Step 4: Simplify right side
    454,876,776x = 965,075,085,521,051,904
  5. Step 5: Solve for x
    x = 965,075,085,521,051,904/454,876,776
  6. Step 6: Final answer
    x = 2,121,618,724.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.