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Finding the Third Proportional to 6,646,802.63 and 14,428,000.13

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Solution

The third proportional to 6,646,802.63 and 14,428,000.13 is: 31,318,394.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646,802.63 : 14,428,000.13 = 14,428,000.13 : x
  2. Step 2: Convert to fraction form
    6,646,802.63/14,428,000.13 = 14,428,000.13/x
  3. Step 3: Cross multiply
    6,646,802.63x = 14,428,000.13 × 14,428,000.13
  4. Step 4: Simplify right side
    6,646,802.63x = 208,167,187,607,000
  5. Step 5: Solve for x
    x = 208,167,187,607,000/6,646,802.63
  6. Step 6: Final answer
    x = 31,318,394.63

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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.