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Finding the Third Proportional to 36,878,463 and 53,278,423.50

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Solution

The third proportional to 36,878,463 and 53,278,423.50 is: 76,971,494.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,878,463 : 53,278,423.50 = 53,278,423.50 : x
  2. Step 2: Convert to fraction form
    36,878,463/53,278,423.50 = 53,278,423.50/x
  3. Step 3: Cross multiply
    36,878,463x = 53,278,423.50 × 53,278,423.50
  4. Step 4: Simplify right side
    36,878,463x = 2,838,590,410,645,352
  5. Step 5: Solve for x
    x = 2,838,590,410,645,352/36,878,463
  6. Step 6: Final answer
    x = 76,971,494.46

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.