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Finding the Third Proportional to 7,273,778,046 and 15,682,916,028

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Solution

The third proportional to 7,273,778,046 and 15,682,916,028 is: 33,813,769,623.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,273,778,046 : 15,682,916,028 = 15,682,916,028 : x
  2. Step 2: Convert to fraction form
    7,273,778,046/15,682,916,028 = 15,682,916,028/x
  3. Step 3: Cross multiply
    7,273,778,046x = 15,682,916,028 × 15,682,916,028
  4. Step 4: Simplify right side
    7,273,778,046x = 245,953,855,141,299,290,112
  5. Step 5: Solve for x
    x = 245,953,855,141,299,290,112/7,273,778,046
  6. Step 6: Final answer
    x = 33,813,769,623.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.