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Finding the Third Proportional to 1,399,402,024 and 3,239,704,206

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Solution

The third proportional to 1,399,402,024 and 3,239,704,206 is: 7,500,120,167.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399,402,024 : 3,239,704,206 = 3,239,704,206 : x
  2. Step 2: Convert to fraction form
    1,399,402,024/3,239,704,206 = 3,239,704,206/x
  3. Step 3: Cross multiply
    1,399,402,024x = 3,239,704,206 × 3,239,704,206
  4. Step 4: Simplify right side
    1,399,402,024x = 10,495,683,342,374,090,752
  5. Step 5: Solve for x
    x = 10,495,683,342,374,090,752/1,399,402,024
  6. Step 6: Final answer
    x = 7,500,120,167.31

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.