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Finding the Third Proportional to 31,164,376.50 and 46,572,141

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Solution

The third proportional to 31,164,376.50 and 46,572,141 is: 69,597,552.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,164,376.50 : 46,572,141 = 46,572,141 : x
  2. Step 2: Convert to fraction form
    31,164,376.50/46,572,141 = 46,572,141/x
  3. Step 3: Cross multiply
    31,164,376.50x = 46,572,141 × 46,572,141
  4. Step 4: Simplify right side
    31,164,376.50x = 2,168,964,317,323,881
  5. Step 5: Solve for x
    x = 2,168,964,317,323,881/31,164,376.50
  6. Step 6: Final answer
    x = 69,597,552.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.