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Finding the Third Proportional to 34,549,344 and 75,607,248

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Solution

The third proportional to 34,549,344 and 75,607,248 is: 165,457,727.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,549,344 : 75,607,248 = 75,607,248 : x
  2. Step 2: Convert to fraction form
    34,549,344/75,607,248 = 75,607,248/x
  3. Step 3: Cross multiply
    34,549,344x = 75,607,248 × 75,607,248
  4. Step 4: Simplify right side
    34,549,344x = 5,716,455,950,133,504
  5. Step 5: Solve for x
    x = 5,716,455,950,133,504/34,549,344
  6. Step 6: Final answer
    x = 165,457,727.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.