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Finding the Third Proportional to 32,945,509.50 and 48,205,510.50

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Solution

The third proportional to 32,945,509.50 and 48,205,510.50 is: 70,533,777.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,945,509.50 : 48,205,510.50 = 48,205,510.50 : x
  2. Step 2: Convert to fraction form
    32,945,509.50/48,205,510.50 = 48,205,510.50/x
  3. Step 3: Cross multiply
    32,945,509.50x = 48,205,510.50 × 48,205,510.50
  4. Step 4: Simplify right side
    32,945,509.50x = 2,323,771,242,565,610
  5. Step 5: Solve for x
    x = 2,323,771,242,565,610/32,945,509.50
  6. Step 6: Final answer
    x = 70,533,777.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.