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Finding the Third Proportional to 9,626,205 and 14,441,373

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Solution

The third proportional to 9,626,205 and 14,441,373 is: 21,665,158.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626,205 : 14,441,373 = 14,441,373 : x
  2. Step 2: Convert to fraction form
    9,626,205/14,441,373 = 14,441,373/x
  3. Step 3: Cross multiply
    9,626,205x = 14,441,373 × 14,441,373
  4. Step 4: Simplify right side
    9,626,205x = 208,553,254,125,129
  5. Step 5: Solve for x
    x = 208,553,254,125,129/9,626,205
  6. Step 6: Final answer
    x = 21,665,158.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.