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Finding the Third Proportional to 85,456,106,533 and 125,624,267,539

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Solution

The third proportional to 85,456,106,533 and 125,624,267,539 is: 184,673,246,125.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,456,106,533 : 125,624,267,539 = 125,624,267,539 : x
  2. Step 2: Convert to fraction form
    85,456,106,533/125,624,267,539 = 125,624,267,539/x
  3. Step 3: Cross multiply
    85,456,106,533x = 125,624,267,539 × 125,624,267,539
  4. Step 4: Simplify right side
    85,456,106,533x = 15,781,456,594,710,248,292,352
  5. Step 5: Solve for x
    x = 15,781,456,594,710,248,292,352/85,456,106,533
  6. Step 6: Final answer
    x = 184,673,246,125.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.