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Finding the Third Proportional to 74,219,007 and 100,684,810.50

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Solution

The third proportional to 74,219,007 and 100,684,810.50 is: 136,588,071.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,219,007 : 100,684,810.50 = 100,684,810.50 : x
  2. Step 2: Convert to fraction form
    74,219,007/100,684,810.50 = 100,684,810.50/x
  3. Step 3: Cross multiply
    74,219,007x = 100,684,810.50 × 100,684,810.50
  4. Step 4: Simplify right side
    74,219,007x = 10,137,431,065,420,910
  5. Step 5: Solve for x
    x = 10,137,431,065,420,910/74,219,007
  6. Step 6: Final answer
    x = 136,588,071.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.