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Finding the Third Proportional to 4,533,294 and 9,797,310

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Solution

The third proportional to 4,533,294 and 9,797,310 is: 21,173,849.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533,294 : 9,797,310 = 9,797,310 : x
  2. Step 2: Convert to fraction form
    4,533,294/9,797,310 = 9,797,310/x
  3. Step 3: Cross multiply
    4,533,294x = 9,797,310 × 9,797,310
  4. Step 4: Simplify right side
    4,533,294x = 95,987,283,236,100
  5. Step 5: Solve for x
    x = 95,987,283,236,100/4,533,294
  6. Step 6: Final answer
    x = 21,173,849.13

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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.