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Finding the Third Proportional to 7,780,638 and 12,501,297

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Solution

The third proportional to 7,780,638 and 12,501,297 is: 20,086,068.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780,638 : 12,501,297 = 12,501,297 : x
  2. Step 2: Convert to fraction form
    7,780,638/12,501,297 = 12,501,297/x
  3. Step 3: Cross multiply
    7,780,638x = 12,501,297 × 12,501,297
  4. Step 4: Simplify right side
    7,780,638x = 156,282,426,682,209
  5. Step 5: Solve for x
    x = 156,282,426,682,209/7,780,638
  6. Step 6: Final answer
    x = 20,086,068.35

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.