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Finding the Third Proportional to 39,911,838 and 86,210,316

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Solution

The third proportional to 39,911,838 and 86,210,316 is: 186,215,893.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,911,838 : 86,210,316 = 86,210,316 : x
  2. Step 2: Convert to fraction form
    39,911,838/86,210,316 = 86,210,316/x
  3. Step 3: Cross multiply
    39,911,838x = 86,210,316 × 86,210,316
  4. Step 4: Simplify right side
    39,911,838x = 7,432,218,584,819,856
  5. Step 5: Solve for x
    x = 7,432,218,584,819,856/39,911,838
  6. Step 6: Final answer
    x = 186,215,893.76

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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.