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Finding the Third Proportional to 12,664,210.50 and 29,865,724.50

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Solution

The third proportional to 12,664,210.50 and 29,865,724.50 is: 70,431,670.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,664,210.50 : 29,865,724.50 = 29,865,724.50 : x
  2. Step 2: Convert to fraction form
    12,664,210.50/29,865,724.50 = 29,865,724.50/x
  3. Step 3: Cross multiply
    12,664,210.50x = 29,865,724.50 × 29,865,724.50
  4. Step 4: Simplify right side
    12,664,210.50x = 891,961,499,909,900.25
  5. Step 5: Solve for x
    x = 891,961,499,909,900.25/12,664,210.50
  6. Step 6: Final answer
    x = 70,431,670.41

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.