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Finding the Third Proportional to 4,973,644,058 and 10,786,468,158

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Solution

The third proportional to 4,973,644,058 and 10,786,468,158 is: 23,392,887,381.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973,644,058 : 10,786,468,158 = 10,786,468,158 : x
  2. Step 2: Convert to fraction form
    4,973,644,058/10,786,468,158 = 10,786,468,158/x
  3. Step 3: Cross multiply
    4,973,644,058x = 10,786,468,158 × 10,786,468,158
  4. Step 4: Simplify right side
    4,973,644,058x = 116,347,895,323,547,910,144
  5. Step 5: Solve for x
    x = 116,347,895,323,547,910,144/4,973,644,058
  6. Step 6: Final answer
    x = 23,392,887,381.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.