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Finding the Third Proportional to 284,068,126 and 611,281,376

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Solution

The third proportional to 284,068,126 and 611,281,376 is: 1,315,406,011.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,068,126 : 611,281,376 = 611,281,376 : x
  2. Step 2: Convert to fraction form
    284,068,126/611,281,376 = 611,281,376/x
  3. Step 3: Cross multiply
    284,068,126x = 611,281,376 × 611,281,376
  4. Step 4: Simplify right side
    284,068,126x = 373,664,920,644,453,376
  5. Step 5: Solve for x
    x = 373,664,920,644,453,376/284,068,126
  6. Step 6: Final answer
    x = 1,315,406,011.60

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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.