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Finding the Third Proportional to 35,761,903.50 and 77,240,896.50

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Solution

The third proportional to 35,761,903.50 and 77,240,896.50 is: 166,829,936.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,761,903.50 : 77,240,896.50 = 77,240,896.50 : x
  2. Step 2: Convert to fraction form
    35,761,903.50/77,240,896.50 = 77,240,896.50/x
  3. Step 3: Cross multiply
    35,761,903.50x = 77,240,896.50 × 77,240,896.50
  4. Step 4: Simplify right side
    35,761,903.50x = 5,966,156,092,123,712
  5. Step 5: Solve for x
    x = 5,966,156,092,123,712/35,761,903.50
  6. Step 6: Final answer
    x = 166,829,936.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.