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Finding the Third Proportional to 14,639,422.88 and 31,798,970.63

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Solution

The third proportional to 14,639,422.88 and 31,798,970.63 is: 69,072,021.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,639,422.88 : 31,798,970.63 = 31,798,970.63 : x
  2. Step 2: Convert to fraction form
    14,639,422.88/31,798,970.63 = 31,798,970.63/x
  3. Step 3: Cross multiply
    14,639,422.88x = 31,798,970.63 × 31,798,970.63
  4. Step 4: Simplify right side
    14,639,422.88x = 1,011,174,532,809,612.88
  5. Step 5: Solve for x
    x = 1,011,174,532,809,612.88/14,639,422.88
  6. Step 6: Final answer
    x = 69,072,021.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.