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Finding the Third Proportional to 34,759,590 and 51,075,255

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Solution

The third proportional to 34,759,590 and 51,075,255 is: 75,049,264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,759,590 : 51,075,255 = 51,075,255 : x
  2. Step 2: Convert to fraction form
    34,759,590/51,075,255 = 51,075,255/x
  3. Step 3: Cross multiply
    34,759,590x = 51,075,255 × 51,075,255
  4. Step 4: Simplify right side
    34,759,590x = 2,608,681,673,315,025
  5. Step 5: Solve for x
    x = 2,608,681,673,315,025/34,759,590
  6. Step 6: Final answer
    x = 75,049,264.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.