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Finding the Third Proportional to 1,399,402,080 and 3,239,704,346

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Solution

The third proportional to 1,399,402,080 and 3,239,704,346 is: 7,500,120,515.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399,402,080 : 3,239,704,346 = 3,239,704,346 : x
  2. Step 2: Convert to fraction form
    1,399,402,080/3,239,704,346 = 3,239,704,346/x
  3. Step 3: Cross multiply
    1,399,402,080x = 3,239,704,346 × 3,239,704,346
  4. Step 4: Simplify right side
    1,399,402,080x = 10,495,684,249,491,288,064
  5. Step 5: Solve for x
    x = 10,495,684,249,491,288,064/1,399,402,080
  6. Step 6: Final answer
    x = 7,500,120,515.39

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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.