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Finding the Third Proportional to 15,894,196 and 34,329,322

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Solution

The third proportional to 15,894,196 and 34,329,322 is: 74,146,710.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894,196 : 34,329,322 = 34,329,322 : x
  2. Step 2: Convert to fraction form
    15,894,196/34,329,322 = 34,329,322/x
  3. Step 3: Cross multiply
    15,894,196x = 34,329,322 × 34,329,322
  4. Step 4: Simplify right side
    15,894,196x = 1,178,502,348,979,684
  5. Step 5: Solve for x
    x = 1,178,502,348,979,684/15,894,196
  6. Step 6: Final answer
    x = 74,146,710.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.