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Finding the Third Proportional to 25,075,976 and 34,649,303.50

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Solution

The third proportional to 25,075,976 and 34,649,303.50 is: 47,877,467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,075,976 : 34,649,303.50 = 34,649,303.50 : x
  2. Step 2: Convert to fraction form
    25,075,976/34,649,303.50 = 34,649,303.50/x
  3. Step 3: Cross multiply
    25,075,976x = 34,649,303.50 × 34,649,303.50
  4. Step 4: Simplify right side
    25,075,976x = 1,200,574,233,035,112.25
  5. Step 5: Solve for x
    x = 1,200,574,233,035,112.25/25,075,976
  6. Step 6: Final answer
    x = 47,877,467.78

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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.