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Finding the Third Proportional to 976,781,289 and 2,095,358,334

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Solution

The third proportional to 976,781,289 and 2,095,358,334 is: 4,494,892,149.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,781,289 : 2,095,358,334 = 2,095,358,334 : x
  2. Step 2: Convert to fraction form
    976,781,289/2,095,358,334 = 2,095,358,334/x
  3. Step 3: Cross multiply
    976,781,289x = 2,095,358,334 × 2,095,358,334
  4. Step 4: Simplify right side
    976,781,289x = 4,390,526,547,863,255,552
  5. Step 5: Solve for x
    x = 4,390,526,547,863,255,552/976,781,289
  6. Step 6: Final answer
    x = 4,494,892,149.66

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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.