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Finding the Third Proportional to 5,139,936 and 7,710,886.13

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Solution

The third proportional to 5,139,936 and 7,710,886.13 is: 11,567,802.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139,936 : 7,710,886.13 = 7,710,886.13 : x
  2. Step 2: Convert to fraction form
    5,139,936/7,710,886.13 = 7,710,886.13/x
  3. Step 3: Cross multiply
    5,139,936x = 7,710,886.13 × 7,710,886.13
  4. Step 4: Simplify right side
    5,139,936x = 59,457,764,832,717.52
  5. Step 5: Solve for x
    x = 59,457,764,832,717.52/5,139,936
  6. Step 6: Final answer
    x = 11,567,802.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.