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Finding the Third Proportional to 9,659,333 and 13,537,654

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Solution

The third proportional to 9,659,333 and 13,537,654 is: 18,973,160.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659,333 : 13,537,654 = 13,537,654 : x
  2. Step 2: Convert to fraction form
    9,659,333/13,537,654 = 13,537,654/x
  3. Step 3: Cross multiply
    9,659,333x = 13,537,654 × 13,537,654
  4. Step 4: Simplify right side
    9,659,333x = 183,268,075,823,716
  5. Step 5: Solve for x
    x = 183,268,075,823,716/9,659,333
  6. Step 6: Final answer
    x = 18,973,160.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.