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Finding the Third Proportional to 14,608,275.47 and 31,170,756.94

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Solution

The third proportional to 14,608,275.47 and 31,170,756.94 is: 66,511,347.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,608,275.47 : 31,170,756.94 = 31,170,756.94 : x
  2. Step 2: Convert to fraction form
    14,608,275.47/31,170,756.94 = 31,170,756.94/x
  3. Step 3: Cross multiply
    14,608,275.47x = 31,170,756.94 × 31,170,756.94
  4. Step 4: Simplify right side
    14,608,275.47x = 971,616,088,056,704.38
  5. Step 5: Solve for x
    x = 971,616,088,056,704.38/14,608,275.47
  6. Step 6: Final answer
    x = 66,511,347.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.