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Finding the Third Proportional to 1,096,291,044 and 2,367,323,712

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Solution

The third proportional to 1,096,291,044 and 2,367,323,712 is: 5,111,983,344.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096,291,044 : 2,367,323,712 = 2,367,323,712 : x
  2. Step 2: Convert to fraction form
    1,096,291,044/2,367,323,712 = 2,367,323,712/x
  3. Step 3: Cross multiply
    1,096,291,044x = 2,367,323,712 × 2,367,323,712
  4. Step 4: Simplify right side
    1,096,291,044x = 5,604,221,557,397,458,944
  5. Step 5: Solve for x
    x = 5,604,221,557,397,458,944/1,096,291,044
  6. Step 6: Final answer
    x = 5,111,983,344.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.