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Finding the Third Proportional to 33,456,512 and 51,146,386.50

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Solution

The third proportional to 33,456,512 and 51,146,386.50 is: 78,189,646.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,456,512 : 51,146,386.50 = 51,146,386.50 : x
  2. Step 2: Convert to fraction form
    33,456,512/51,146,386.50 = 51,146,386.50/x
  3. Step 3: Cross multiply
    33,456,512x = 51,146,386.50 × 51,146,386.50
  4. Step 4: Simplify right side
    33,456,512x = 2,615,952,852,007,382
  5. Step 5: Solve for x
    x = 2,615,952,852,007,382/33,456,512
  6. Step 6: Final answer
    x = 78,189,646.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.