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Finding the Third Proportional to 9,700,492.50 and 21,186,279

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Solution

The third proportional to 9,700,492.50 and 21,186,279 is: 46,271,714.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700,492.50 : 21,186,279 = 21,186,279 : x
  2. Step 2: Convert to fraction form
    9,700,492.50/21,186,279 = 21,186,279/x
  3. Step 3: Cross multiply
    9,700,492.50x = 21,186,279 × 21,186,279
  4. Step 4: Simplify right side
    9,700,492.50x = 448,858,417,865,841
  5. Step 5: Solve for x
    x = 448,858,417,865,841/9,700,492.50
  6. Step 6: Final answer
    x = 46,271,714.33

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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.