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Finding the Third Proportional to 5,338,324 and 12,596,476

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Solution

The third proportional to 5,338,324 and 12,596,476 is: 29,723,038.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338,324 : 12,596,476 = 12,596,476 : x
  2. Step 2: Convert to fraction form
    5,338,324/12,596,476 = 12,596,476/x
  3. Step 3: Cross multiply
    5,338,324x = 12,596,476 × 12,596,476
  4. Step 4: Simplify right side
    5,338,324x = 158,671,207,618,576
  5. Step 5: Solve for x
    x = 158,671,207,618,576/5,338,324
  6. Step 6: Final answer
    x = 29,723,038.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.