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Finding the Third Proportional to 947,626,272.75 and 2,026,702,055.25

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Solution

The third proportional to 947,626,272.75 and 2,026,702,055.25 is: 4,334,537,083.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,626,272.75 : 2,026,702,055.25 = 2,026,702,055.25 : x
  2. Step 2: Convert to fraction form
    947,626,272.75/2,026,702,055.25 = 2,026,702,055.25/x
  3. Step 3: Cross multiply
    947,626,272.75x = 2,026,702,055.25 × 2,026,702,055.25
  4. Step 4: Simplify right side
    947,626,272.75x = 4,107,521,220,754,573,824
  5. Step 5: Solve for x
    x = 4,107,521,220,754,573,824/947,626,272.75
  6. Step 6: Final answer
    x = 4,334,537,083.73

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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.