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Finding the Third Proportional to 5,189,917,312 and 10,747,756,064

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Solution

The third proportional to 5,189,917,312 and 10,747,756,064 is: 22,257,437,540.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189,917,312 : 10,747,756,064 = 10,747,756,064 : x
  2. Step 2: Convert to fraction form
    5,189,917,312/10,747,756,064 = 10,747,756,064/x
  3. Step 3: Cross multiply
    5,189,917,312x = 10,747,756,064 × 10,747,756,064
  4. Step 4: Simplify right side
    5,189,917,312x = 115,514,260,411,248,771,072
  5. Step 5: Solve for x
    x = 115,514,260,411,248,771,072/5,189,917,312
  6. Step 6: Final answer
    x = 22,257,437,540.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.