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Finding the Third Proportional to 29,886,309 and 43,763,607

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Solution

The third proportional to 29,886,309 and 43,763,607 is: 64,084,638.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,886,309 : 43,763,607 = 43,763,607 : x
  2. Step 2: Convert to fraction form
    29,886,309/43,763,607 = 43,763,607/x
  3. Step 3: Cross multiply
    29,886,309x = 43,763,607 × 43,763,607
  4. Step 4: Simplify right side
    29,886,309x = 1,915,253,297,650,449
  5. Step 5: Solve for x
    x = 1,915,253,297,650,449/29,886,309
  6. Step 6: Final answer
    x = 64,084,638.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.