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Finding the Third Proportional to 35,829,225,092 and 77,620,421,044

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Solution

The third proportional to 35,829,225,092 and 77,620,421,044 is: 168,156,853,729.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,829,225,092 : 77,620,421,044 = 77,620,421,044 : x
  2. Step 2: Convert to fraction form
    35,829,225,092/77,620,421,044 = 77,620,421,044/x
  3. Step 3: Cross multiply
    35,829,225,092x = 77,620,421,044 × 77,620,421,044
  4. Step 4: Simplify right side
    35,829,225,092x = 6,024,929,763,047,838,318,592
  5. Step 5: Solve for x
    x = 6,024,929,763,047,838,318,592/35,829,225,092
  6. Step 6: Final answer
    x = 168,156,853,729.81

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