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Finding the Third Proportional to 14,966,597.81 and 32,269,326.75

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Solution

The third proportional to 14,966,597.81 and 32,269,326.75 is: 69,575,561.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,966,597.81 : 32,269,326.75 = 32,269,326.75 : x
  2. Step 2: Convert to fraction form
    14,966,597.81/32,269,326.75 = 32,269,326.75/x
  3. Step 3: Cross multiply
    14,966,597.81x = 32,269,326.75 × 32,269,326.75
  4. Step 4: Simplify right side
    14,966,597.81x = 1,041,309,448,898,265.50
  5. Step 5: Solve for x
    x = 1,041,309,448,898,265.50/14,966,597.81
  6. Step 6: Final answer
    x = 69,575,561.66

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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.