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Finding the Third Proportional to 478,277,492 and 994,726,396

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Solution

The third proportional to 478,277,492 and 994,726,396 is: 2,068,842,083.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,277,492 : 994,726,396 = 994,726,396 : x
  2. Step 2: Convert to fraction form
    478,277,492/994,726,396 = 994,726,396/x
  3. Step 3: Cross multiply
    478,277,492x = 994,726,396 × 994,726,396
  4. Step 4: Simplify right side
    478,277,492x = 989,480,602,899,148,800
  5. Step 5: Solve for x
    x = 989,480,602,899,148,800/478,277,492
  6. Step 6: Final answer
    x = 2,068,842,083.20

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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.