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Finding the Third Proportional to 649,400,256 and 1,417,835,835

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Solution

The third proportional to 649,400,256 and 1,417,835,835 is: 3,095,561,537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,400,256 : 1,417,835,835 = 1,417,835,835 : x
  2. Step 2: Convert to fraction form
    649,400,256/1,417,835,835 = 1,417,835,835/x
  3. Step 3: Cross multiply
    649,400,256x = 1,417,835,835 × 1,417,835,835
  4. Step 4: Simplify right side
    649,400,256x = 2,010,258,455,010,147,328
  5. Step 5: Solve for x
    x = 2,010,258,455,010,147,328/649,400,256
  6. Step 6: Final answer
    x = 3,095,561,537.64

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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.