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Finding the Third Proportional to 25,075,974 and 34,649,298

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Solution

The third proportional to 25,075,974 and 34,649,298 is: 47,877,456.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,075,974 : 34,649,298 = 34,649,298 : x
  2. Step 2: Convert to fraction form
    25,075,974/34,649,298 = 34,649,298/x
  3. Step 3: Cross multiply
    25,075,974x = 34,649,298 × 34,649,298
  4. Step 4: Simplify right side
    25,075,974x = 1,200,573,851,892,804
  5. Step 5: Solve for x
    x = 1,200,573,851,892,804/25,075,974
  6. Step 6: Final answer
    x = 47,877,456.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.