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Finding the Third Proportional to 676,749,168 and 1,019,604,264

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Solution

The third proportional to 676,749,168 and 1,019,604,264 is: 1,536,156,827.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,749,168 : 1,019,604,264 = 1,019,604,264 : x
  2. Step 2: Convert to fraction form
    676,749,168/1,019,604,264 = 1,019,604,264/x
  3. Step 3: Cross multiply
    676,749,168x = 1,019,604,264 × 1,019,604,264
  4. Step 4: Simplify right side
    676,749,168x = 1,039,592,855,166,981,632
  5. Step 5: Solve for x
    x = 1,039,592,855,166,981,632/676,749,168
  6. Step 6: Final answer
    x = 1,536,156,827.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.