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Finding the Third Proportional to 2,343,782,061 and 5,055,551,658

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Solution

The third proportional to 2,343,782,061 and 5,055,551,658 is: 10,904,854,590.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343,782,061 : 5,055,551,658 = 5,055,551,658 : x
  2. Step 2: Convert to fraction form
    2,343,782,061/5,055,551,658 = 5,055,551,658/x
  3. Step 3: Cross multiply
    2,343,782,061x = 5,055,551,658 × 5,055,551,658
  4. Step 4: Simplify right side
    2,343,782,061x = 25,558,602,566,706,548,736
  5. Step 5: Solve for x
    x = 25,558,602,566,706,548,736/2,343,782,061
  6. Step 6: Final answer
    x = 10,904,854,590.36

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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.