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Finding the Third Proportional to 76,484,322 and 115,365,631.50

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Solution

The third proportional to 76,484,322 and 115,365,631.50 is: 174,012,511.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,484,322 : 115,365,631.50 = 115,365,631.50 : x
  2. Step 2: Convert to fraction form
    76,484,322/115,365,631.50 = 115,365,631.50/x
  3. Step 3: Cross multiply
    76,484,322x = 115,365,631.50 × 115,365,631.50
  4. Step 4: Simplify right side
    76,484,322x = 13,309,228,931,393,792
  5. Step 5: Solve for x
    x = 13,309,228,931,393,792/76,484,322
  6. Step 6: Final answer
    x = 174,012,511.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.