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Finding the Third Proportional to 976,781,314 and 2,095,358,378

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Solution

The third proportional to 976,781,314 and 2,095,358,378 is: 4,494,892,223.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,781,314 : 2,095,358,378 = 2,095,358,378 : x
  2. Step 2: Convert to fraction form
    976,781,314/2,095,358,378 = 2,095,358,378/x
  3. Step 3: Cross multiply
    976,781,314x = 2,095,358,378 × 2,095,358,378
  4. Step 4: Simplify right side
    976,781,314x = 4,390,526,732,254,790,656
  5. Step 5: Solve for x
    x = 4,390,526,732,254,790,656/976,781,314
  6. Step 6: Final answer
    x = 4,494,892,223.39

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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.