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Finding the Third Proportional to 12,390,025 and 26,573,634

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Solution

The third proportional to 12,390,025 and 26,573,634 is: 56,994,075.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,390,025 : 26,573,634 = 26,573,634 : x
  2. Step 2: Convert to fraction form
    12,390,025/26,573,634 = 26,573,634/x
  3. Step 3: Cross multiply
    12,390,025x = 26,573,634 × 26,573,634
  4. Step 4: Simplify right side
    12,390,025x = 706,158,023,965,956
  5. Step 5: Solve for x
    x = 706,158,023,965,956/12,390,025
  6. Step 6: Final answer
    x = 56,994,075.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.