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Finding the Third Proportional to 307,011,125 and 501,268,466

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Solution

The third proportional to 307,011,125 and 501,268,466 is: 818,439,641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,011,125 : 501,268,466 = 501,268,466 : x
  2. Step 2: Convert to fraction form
    307,011,125/501,268,466 = 501,268,466/x
  3. Step 3: Cross multiply
    307,011,125x = 501,268,466 × 501,268,466
  4. Step 4: Simplify right side
    307,011,125x = 251,270,075,005,993,152
  5. Step 5: Solve for x
    x = 251,270,075,005,993,152/307,011,125
  6. Step 6: Final answer
    x = 818,439,641.25

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.