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Finding the Third Proportional to 976,781,316 and 2,095,358,388

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Solution

The third proportional to 976,781,316 and 2,095,358,388 is: 4,494,892,257.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,781,316 : 2,095,358,388 = 2,095,358,388 : x
  2. Step 2: Convert to fraction form
    976,781,316/2,095,358,388 = 2,095,358,388/x
  3. Step 3: Cross multiply
    976,781,316x = 2,095,358,388 × 2,095,358,388
  4. Step 4: Simplify right side
    976,781,316x = 4,390,526,774,161,958,400
  5. Step 5: Solve for x
    x = 4,390,526,774,161,958,400/976,781,316
  6. Step 6: Final answer
    x = 4,494,892,257.09

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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.