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Finding the Third Proportional to 326,520,432 and 710,433,936

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Solution

The third proportional to 326,520,432 and 710,433,936 is: 1,545,742,097.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,520,432 : 710,433,936 = 710,433,936 : x
  2. Step 2: Convert to fraction form
    326,520,432/710,433,936 = 710,433,936/x
  3. Step 3: Cross multiply
    326,520,432x = 710,433,936 × 710,433,936
  4. Step 4: Simplify right side
    326,520,432x = 504,716,377,420,452,096
  5. Step 5: Solve for x
    x = 504,716,377,420,452,096/326,520,432
  6. Step 6: Final answer
    x = 1,545,742,097.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.