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Finding the Third Proportional to 35,829,906 and 78,366,102.50

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Solution

The third proportional to 35,829,906 and 78,366,102.50 is: 171,400,003.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,829,906 : 78,366,102.50 = 78,366,102.50 : x
  2. Step 2: Convert to fraction form
    35,829,906/78,366,102.50 = 78,366,102.50/x
  3. Step 3: Cross multiply
    35,829,906x = 78,366,102.50 × 78,366,102.50
  4. Step 4: Simplify right side
    35,829,906x = 6,141,246,021,040,506
  5. Step 5: Solve for x
    x = 6,141,246,021,040,506/35,829,906
  6. Step 6: Final answer
    x = 171,400,003.70

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