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Finding the Third Proportional to 7,146,056 and 15,574,864

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Solution

The third proportional to 7,146,056 and 15,574,864 is: 33,945,492.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146,056 : 15,574,864 = 15,574,864 : x
  2. Step 2: Convert to fraction form
    7,146,056/15,574,864 = 15,574,864/x
  3. Step 3: Cross multiply
    7,146,056x = 15,574,864 × 15,574,864
  4. Step 4: Simplify right side
    7,146,056x = 242,576,388,618,496
  5. Step 5: Solve for x
    x = 242,576,388,618,496/7,146,056
  6. Step 6: Final answer
    x = 33,945,492.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.