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Finding the Third Proportional to 9,205,329 and 14,088,294

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Solution

The third proportional to 9,205,329 and 14,088,294 is: 21,561,426.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205,329 : 14,088,294 = 14,088,294 : x
  2. Step 2: Convert to fraction form
    9,205,329/14,088,294 = 14,088,294/x
  3. Step 3: Cross multiply
    9,205,329x = 14,088,294 × 14,088,294
  4. Step 4: Simplify right side
    9,205,329x = 198,480,027,830,436
  5. Step 5: Solve for x
    x = 198,480,027,830,436/9,205,329
  6. Step 6: Final answer
    x = 21,561,426.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.