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Finding the Third Proportional to 30,774,703.50 and 65,947,635.56

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Solution

The third proportional to 30,774,703.50 and 65,947,635.56 is: 141,320,309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,774,703.50 : 65,947,635.56 = 65,947,635.56 : x
  2. Step 2: Convert to fraction form
    30,774,703.50/65,947,635.56 = 65,947,635.56/x
  3. Step 3: Cross multiply
    30,774,703.50x = 65,947,635.56 × 65,947,635.56
  4. Step 4: Simplify right side
    30,774,703.50x = 4,349,090,636,284,314.50
  5. Step 5: Solve for x
    x = 4,349,090,636,284,314.50/30,774,703.50
  6. Step 6: Final answer
    x = 141,320,309.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.