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Finding the Third Proportional to 56,382,733.50 and 89,716,945.50

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Solution

The third proportional to 56,382,733.50 and 89,716,945.50 is: 142,758,781.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,382,733.50 : 89,716,945.50 = 89,716,945.50 : x
  2. Step 2: Convert to fraction form
    56,382,733.50/89,716,945.50 = 89,716,945.50/x
  3. Step 3: Cross multiply
    56,382,733.50x = 89,716,945.50 × 89,716,945.50
  4. Step 4: Simplify right side
    56,382,733.50x = 8,049,130,309,849,970
  5. Step 5: Solve for x
    x = 8,049,130,309,849,970/56,382,733.50
  6. Step 6: Final answer
    x = 142,758,781.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.