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Finding the Third Proportional to 25,075,971 and 34,649,296

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Solution

The third proportional to 25,075,971 and 34,649,296 is: 47,877,456.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,075,971 : 34,649,296 = 34,649,296 : x
  2. Step 2: Convert to fraction form
    25,075,971/34,649,296 = 34,649,296/x
  3. Step 3: Cross multiply
    25,075,971x = 34,649,296 × 34,649,296
  4. Step 4: Simplify right side
    25,075,971x = 1,200,573,713,295,616
  5. Step 5: Solve for x
    x = 1,200,573,713,295,616/25,075,971
  6. Step 6: Final answer
    x = 47,877,456.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.