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Finding the Third Proportional to 346,834,027.13 and 809,307,347.63

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Solution

The third proportional to 346,834,027.13 and 809,307,347.63 is: 1,888,449,032.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,834,027.13 : 809,307,347.63 = 809,307,347.63 : x
  2. Step 2: Convert to fraction form
    346,834,027.13/809,307,347.63 = 809,307,347.63/x
  3. Step 3: Cross multiply
    346,834,027.13x = 809,307,347.63 × 809,307,347.63
  4. Step 4: Simplify right side
    346,834,027.13x = 654,978,382,919,812,608
  5. Step 5: Solve for x
    x = 654,978,382,919,812,608/346,834,027.13
  6. Step 6: Final answer
    x = 1,888,449,032.38

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.