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Finding the Third Proportional to 9,727,674,164 and 19,726,032,292

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Solution

The third proportional to 9,727,674,164 and 19,726,032,292 is: 40,000,964,611.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727,674,164 : 19,726,032,292 = 19,726,032,292 : x
  2. Step 2: Convert to fraction form
    9,727,674,164/19,726,032,292 = 19,726,032,292/x
  3. Step 3: Cross multiply
    9,727,674,164x = 19,726,032,292 × 19,726,032,292
  4. Step 4: Simplify right side
    9,727,674,164x = 389,116,349,985,026,801,664
  5. Step 5: Solve for x
    x = 389,116,349,985,026,801,664/9,727,674,164
  6. Step 6: Final answer
    x = 40,000,964,611.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.