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Finding the Third Proportional to 34,930,174,648.50 and 75,980,477,070

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Solution

The third proportional to 34,930,174,648.50 and 75,980,477,070 is: 165,273,519,353.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,930,174,648.50 : 75,980,477,070 = 75,980,477,070 : x
  2. Step 2: Convert to fraction form
    34,930,174,648.50/75,980,477,070 = 75,980,477,070/x
  3. Step 3: Cross multiply
    34,930,174,648.50x = 75,980,477,070 × 75,980,477,070
  4. Step 4: Simplify right side
    34,930,174,648.50x = 5,773,032,895,784,795,766,784
  5. Step 5: Solve for x
    x = 5,773,032,895,784,795,766,784/34,930,174,648.50
  6. Step 6: Final answer
    x = 165,273,519,353.35

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.