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Finding the Third Proportional to 34,478,514 and 75,010,425.75

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Solution

The third proportional to 34,478,514 and 75,010,425.75 is: 163,190,442.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,478,514 : 75,010,425.75 = 75,010,425.75 : x
  2. Step 2: Convert to fraction form
    34,478,514/75,010,425.75 = 75,010,425.75/x
  3. Step 3: Cross multiply
    34,478,514x = 75,010,425.75 × 75,010,425.75
  4. Step 4: Simplify right side
    34,478,514x = 5,626,563,971,196,263
  5. Step 5: Solve for x
    x = 5,626,563,971,196,263/34,478,514
  6. Step 6: Final answer
    x = 163,190,442.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.