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Finding the Third Proportional to 12,577,240 and 19,054,495

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Solution

The third proportional to 12,577,240 and 19,054,495 is: 28,867,524.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577,240 : 19,054,495 = 19,054,495 : x
  2. Step 2: Convert to fraction form
    12,577,240/19,054,495 = 19,054,495/x
  3. Step 3: Cross multiply
    12,577,240x = 19,054,495 × 19,054,495
  4. Step 4: Simplify right side
    12,577,240x = 363,073,779,705,025
  5. Step 5: Solve for x
    x = 363,073,779,705,025/12,577,240
  6. Step 6: Final answer
    x = 28,867,524.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.