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Finding the Third Proportional to 664,400,440 and 1,423,568,420

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Solution

The third proportional to 664,400,440 and 1,423,568,420 is: 3,050,189,199.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,400,440 : 1,423,568,420 = 1,423,568,420 : x
  2. Step 2: Convert to fraction form
    664,400,440/1,423,568,420 = 1,423,568,420/x
  3. Step 3: Cross multiply
    664,400,440x = 1,423,568,420 × 1,423,568,420
  4. Step 4: Simplify right side
    664,400,440x = 2,026,547,046,421,296,384
  5. Step 5: Solve for x
    x = 2,026,547,046,421,296,384/664,400,440
  6. Step 6: Final answer
    x = 3,050,189,199.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.