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Finding the Third Proportional to 7,909,498 and 17,011,316

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Solution

The third proportional to 7,909,498 and 17,011,316 is: 36,587,008.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909,498 : 17,011,316 = 17,011,316 : x
  2. Step 2: Convert to fraction form
    7,909,498/17,011,316 = 17,011,316/x
  3. Step 3: Cross multiply
    7,909,498x = 17,011,316 × 17,011,316
  4. Step 4: Simplify right side
    7,909,498x = 289,384,872,051,856
  5. Step 5: Solve for x
    x = 289,384,872,051,856/7,909,498
  6. Step 6: Final answer
    x = 36,587,008.69

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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.