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Finding the Third Proportional to 7,223,848 and 10,596,297

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Solution

The third proportional to 7,223,848 and 10,596,297 is: 15,543,171.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223,848 : 10,596,297 = 10,596,297 : x
  2. Step 2: Convert to fraction form
    7,223,848/10,596,297 = 10,596,297/x
  3. Step 3: Cross multiply
    7,223,848x = 10,596,297 × 10,596,297
  4. Step 4: Simplify right side
    7,223,848x = 112,281,510,112,209
  5. Step 5: Solve for x
    x = 112,281,510,112,209/7,223,848
  6. Step 6: Final answer
    x = 15,543,171.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.