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Finding the Third Proportional to 46,209,939 and 66,075,643

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Solution

The third proportional to 46,209,939 and 66,075,643 is: 94,481,635.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,209,939 : 66,075,643 = 66,075,643 : x
  2. Step 2: Convert to fraction form
    46,209,939/66,075,643 = 66,075,643/x
  3. Step 3: Cross multiply
    46,209,939x = 66,075,643 × 66,075,643
  4. Step 4: Simplify right side
    46,209,939x = 4,365,990,597,863,449
  5. Step 5: Solve for x
    x = 4,365,990,597,863,449/46,209,939
  6. Step 6: Final answer
    x = 94,481,635.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.