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Finding the Third Proportional to 34,654,756,796 and 75,953,057,534

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Solution

The third proportional to 34,654,756,796 and 75,953,057,534 is: 166,466,813,855.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,654,756,796 : 75,953,057,534 = 75,953,057,534 : x
  2. Step 2: Convert to fraction form
    34,654,756,796/75,953,057,534 = 75,953,057,534/x
  3. Step 3: Cross multiply
    34,654,756,796x = 75,953,057,534 × 75,953,057,534
  4. Step 4: Simplify right side
    34,654,756,796x = 5,768,866,948,763,114,012,672
  5. Step 5: Solve for x
    x = 5,768,866,948,763,114,012,672/34,654,756,796
  6. Step 6: Final answer
    x = 166,466,813,855.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.