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Finding the Third Proportional to 909,456,422 and 1,973,276,236

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Solution

The third proportional to 909,456,422 and 1,973,276,236 is: 4,281,479,584.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,456,422 : 1,973,276,236 = 1,973,276,236 : x
  2. Step 2: Convert to fraction form
    909,456,422/1,973,276,236 = 1,973,276,236/x
  3. Step 3: Cross multiply
    909,456,422x = 1,973,276,236 × 1,973,276,236
  4. Step 4: Simplify right side
    909,456,422x = 3,893,819,103,562,327,552
  5. Step 5: Solve for x
    x = 3,893,819,103,562,327,552/909,456,422
  6. Step 6: Final answer
    x = 4,281,479,584.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.