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Finding the Third Proportional to 6,576,984 and 14,346,072

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Solution

The third proportional to 6,576,984 and 14,346,072 is: 31,292,425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576,984 : 14,346,072 = 14,346,072 : x
  2. Step 2: Convert to fraction form
    6,576,984/14,346,072 = 14,346,072/x
  3. Step 3: Cross multiply
    6,576,984x = 14,346,072 × 14,346,072
  4. Step 4: Simplify right side
    6,576,984x = 205,809,781,829,184
  5. Step 5: Solve for x
    x = 205,809,781,829,184/6,576,984
  6. Step 6: Final answer
    x = 31,292,425.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.