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Finding the Third Proportional to 271,674,145.13 and 423,653,721.19

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Solution

The third proportional to 271,674,145.13 and 423,653,721.19 is: 660,653,502.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,674,145.13 : 423,653,721.19 = 423,653,721.19 : x
  2. Step 2: Convert to fraction form
    271,674,145.13/423,653,721.19 = 423,653,721.19/x
  3. Step 3: Cross multiply
    271,674,145.13x = 423,653,721.19 × 423,653,721.19
  4. Step 4: Simplify right side
    271,674,145.13x = 179,482,475,476,016,000
  5. Step 5: Solve for x
    x = 179,482,475,476,016,000/271,674,145.13
  6. Step 6: Final answer
    x = 660,653,502.35

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.