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Finding the Third Proportional to 32,851,161 and 76,048,312.50

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Solution

The third proportional to 32,851,161 and 76,048,312.50 is: 176,046,923.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,851,161 : 76,048,312.50 = 76,048,312.50 : x
  2. Step 2: Convert to fraction form
    32,851,161/76,048,312.50 = 76,048,312.50/x
  3. Step 3: Cross multiply
    32,851,161x = 76,048,312.50 × 76,048,312.50
  4. Step 4: Simplify right side
    32,851,161x = 5,783,345,834,097,656
  5. Step 5: Solve for x
    x = 5,783,345,834,097,656/32,851,161
  6. Step 6: Final answer
    x = 176,046,923.70

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.