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Finding the Third Proportional to 1,426,063,371 and 3,048,382,107

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Solution

The third proportional to 1,426,063,371 and 3,048,382,107 is: 6,516,283,679.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426,063,371 : 3,048,382,107 = 3,048,382,107 : x
  2. Step 2: Convert to fraction form
    1,426,063,371/3,048,382,107 = 3,048,382,107/x
  3. Step 3: Cross multiply
    1,426,063,371x = 3,048,382,107 × 3,048,382,107
  4. Step 4: Simplify right side
    1,426,063,371x = 9,292,633,470,277,758,976
  5. Step 5: Solve for x
    x = 9,292,633,470,277,758,976/1,426,063,371
  6. Step 6: Final answer
    x = 6,516,283,679.43

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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.