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Finding the Third Proportional to 7,894,262 and 17,006,656

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Solution

The third proportional to 7,894,262 and 17,006,656 is: 36,637,541.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894,262 : 17,006,656 = 17,006,656 : x
  2. Step 2: Convert to fraction form
    7,894,262/17,006,656 = 17,006,656/x
  3. Step 3: Cross multiply
    7,894,262x = 17,006,656 × 17,006,656
  4. Step 4: Simplify right side
    7,894,262x = 289,226,348,302,336
  5. Step 5: Solve for x
    x = 289,226,348,302,336/7,894,262
  6. Step 6: Final answer
    x = 36,637,541.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.