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Finding the Third Proportional to 380,214,688 and 814,997,968

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Solution

The third proportional to 380,214,688 and 814,997,968 is: 1,746,964,830.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,214,688 : 814,997,968 = 814,997,968 : x
  2. Step 2: Convert to fraction form
    380,214,688/814,997,968 = 814,997,968/x
  3. Step 3: Cross multiply
    380,214,688x = 814,997,968 × 814,997,968
  4. Step 4: Simplify right side
    380,214,688x = 664,221,687,844,129,024
  5. Step 5: Solve for x
    x = 664,221,687,844,129,024/380,214,688
  6. Step 6: Final answer
    x = 1,746,964,830.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.