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Finding the Third Proportional to 22,421,966,834 and 31,534,996,143

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Solution

The third proportional to 22,421,966,834 and 31,534,996,143 is: 44,351,862,131.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,421,966,834 : 31,534,996,143 = 31,534,996,143 : x
  2. Step 2: Convert to fraction form
    22,421,966,834/31,534,996,143 = 31,534,996,143/x
  3. Step 3: Cross multiply
    22,421,966,834x = 31,534,996,143 × 31,534,996,143
  4. Step 4: Simplify right side
    22,421,966,834x = 994,455,981,739,024,842,752
  5. Step 5: Solve for x
    x = 994,455,981,739,024,842,752/22,421,966,834
  6. Step 6: Final answer
    x = 44,351,862,131.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.