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Finding the Third Proportional to 25,075,973 and 34,649,299

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Solution

The third proportional to 25,075,973 and 34,649,299 is: 47,877,461.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,075,973 : 34,649,299 = 34,649,299 : x
  2. Step 2: Convert to fraction form
    25,075,973/34,649,299 = 34,649,299/x
  3. Step 3: Cross multiply
    25,075,973x = 34,649,299 × 34,649,299
  4. Step 4: Simplify right side
    25,075,973x = 1,200,573,921,191,401
  5. Step 5: Solve for x
    x = 1,200,573,921,191,401/25,075,973
  6. Step 6: Final answer
    x = 47,877,461.07

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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.