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Finding the Third Proportional to 23,075,643 and 49,240,410

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Solution

The third proportional to 23,075,643 and 49,240,410 is: 105,072,607.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,075,643 : 49,240,410 = 49,240,410 : x
  2. Step 2: Convert to fraction form
    23,075,643/49,240,410 = 49,240,410/x
  3. Step 3: Cross multiply
    23,075,643x = 49,240,410 × 49,240,410
  4. Step 4: Simplify right side
    23,075,643x = 2,424,617,976,968,100
  5. Step 5: Solve for x
    x = 2,424,617,976,968,100/23,075,643
  6. Step 6: Final answer
    x = 105,072,607.38

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.