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Finding the Third Proportional to 21,936,465 and 47,533,953

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Solution

The third proportional to 21,936,465 and 47,533,953 is: 103,000,947.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,936,465 : 47,533,953 = 47,533,953 : x
  2. Step 2: Convert to fraction form
    21,936,465/47,533,953 = 47,533,953/x
  3. Step 3: Cross multiply
    21,936,465x = 47,533,953 × 47,533,953
  4. Step 4: Simplify right side
    21,936,465x = 2,259,476,687,806,209
  5. Step 5: Solve for x
    x = 2,259,476,687,806,209/21,936,465
  6. Step 6: Final answer
    x = 103,000,947.86

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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.