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Finding the Third Proportional to 6,036,196 and 9,421,703

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Solution

The third proportional to 6,036,196 and 9,421,703 is: 14,706,031.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,036,196 : 9,421,703 = 9,421,703 : x
  2. Step 2: Convert to fraction form
    6,036,196/9,421,703 = 9,421,703/x
  3. Step 3: Cross multiply
    6,036,196x = 9,421,703 × 9,421,703
  4. Step 4: Simplify right side
    6,036,196x = 88,768,487,420,209
  5. Step 5: Solve for x
    x = 88,768,487,420,209/6,036,196
  6. Step 6: Final answer
    x = 14,706,031.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.