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Finding the Third Proportional to 2,725,731,162,552 and 5,886,668,618,720

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Solution

The third proportional to 2,725,731,162,552 and 5,886,668,618,720 is: 12,713,237,425,138.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725,731,162,552 : 5,886,668,618,720 = 5,886,668,618,720 : x
  2. Step 2: Convert to fraction form
    2,725,731,162,552/5,886,668,618,720 = 5,886,668,618,720/x
  3. Step 3: Cross multiply
    2,725,731,162,552x = 5,886,668,618,720 × 5,886,668,618,720
  4. Step 4: Simplify right side
    2,725,731,162,552x = 34,652,867,426,622,832,610,639,872
  5. Step 5: Solve for x
    x = 34,652,867,426,622,832,610,639,872/2,725,731,162,552
  6. Step 6: Final answer
    x = 12,713,237,425,138.67

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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.