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Finding the Third Proportional to 14,176,802.74 and 21,894,798.23

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Solution

The third proportional to 14,176,802.74 and 21,894,798.23 is: 33,814,548.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,176,802.74 : 21,894,798.23 = 21,894,798.23 : x
  2. Step 2: Convert to fraction form
    14,176,802.74/21,894,798.23 = 21,894,798.23/x
  3. Step 3: Cross multiply
    14,176,802.74x = 21,894,798.23 × 21,894,798.23
  4. Step 4: Simplify right side
    14,176,802.74x = 479,382,189,723,990.62
  5. Step 5: Solve for x
    x = 479,382,189,723,990.62/14,176,802.74
  6. Step 6: Final answer
    x = 33,814,548.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.