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Finding the Third Proportional to 284,068,128 and 611,281,380

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Solution

The third proportional to 284,068,128 and 611,281,380 is: 1,315,406,019.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,068,128 : 611,281,380 = 611,281,380 : x
  2. Step 2: Convert to fraction form
    284,068,128/611,281,380 = 611,281,380/x
  3. Step 3: Cross multiply
    284,068,128x = 611,281,380 × 611,281,380
  4. Step 4: Simplify right side
    284,068,128x = 373,664,925,534,704,384
  5. Step 5: Solve for x
    x = 373,664,925,534,704,384/284,068,128
  6. Step 6: Final answer
    x = 1,315,406,019.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.