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Finding the Third Proportional to 3,596,472 and 7,705,931.63

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Solution

The third proportional to 3,596,472 and 7,705,931.63 is: 16,511,009.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596,472 : 7,705,931.63 = 7,705,931.63 : x
  2. Step 2: Convert to fraction form
    3,596,472/7,705,931.63 = 7,705,931.63/x
  3. Step 3: Cross multiply
    3,596,472x = 7,705,931.63 × 7,705,931.63
  4. Step 4: Simplify right side
    3,596,472x = 59,381,382,209,175.14
  5. Step 5: Solve for x
    x = 59,381,382,209,175.14/3,596,472
  6. Step 6: Final answer
    x = 16,511,009.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.