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Finding the Third Proportional to 909,222,272 and 1,960,364,538

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Solution

The third proportional to 909,222,272 and 1,960,364,538 is: 4,226,721,276.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,222,272 : 1,960,364,538 = 1,960,364,538 : x
  2. Step 2: Convert to fraction form
    909,222,272/1,960,364,538 = 1,960,364,538/x
  3. Step 3: Cross multiply
    909,222,272x = 1,960,364,538 × 1,960,364,538
  4. Step 4: Simplify right side
    909,222,272x = 3,843,029,121,847,953,408
  5. Step 5: Solve for x
    x = 3,843,029,121,847,953,408/909,222,272
  6. Step 6: Final answer
    x = 4,226,721,276.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.