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Finding the Third Proportional to 478,277,476 and 994,726,364

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Solution

The third proportional to 478,277,476 and 994,726,364 is: 2,068,842,019.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,277,476 : 994,726,364 = 994,726,364 : x
  2. Step 2: Convert to fraction form
    478,277,476/994,726,364 = 994,726,364/x
  3. Step 3: Cross multiply
    478,277,476x = 994,726,364 × 994,726,364
  4. Step 4: Simplify right side
    478,277,476x = 989,480,539,236,660,480
  5. Step 5: Solve for x
    x = 989,480,539,236,660,480/478,277,476
  6. Step 6: Final answer
    x = 2,068,842,019.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.