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Finding the Third Proportional to 852,286,652,171 and 1,854,610,126,043

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Solution

The third proportional to 852,286,652,171 and 1,854,610,126,043 is: 4,035,706,426,775.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,286,652,171 : 1,854,610,126,043 = 1,854,610,126,043 : x
  2. Step 2: Convert to fraction form
    852,286,652,171/1,854,610,126,043 = 1,854,610,126,043/x
  3. Step 3: Cross multiply
    852,286,652,171x = 1,854,610,126,043 × 1,854,610,126,043
  4. Step 4: Simplify right side
    852,286,652,171x = 3,439,578,719,621,232,111,648,768
  5. Step 5: Solve for x
    x = 3,439,578,719,621,232,111,648,768/852,286,652,171
  6. Step 6: Final answer
    x = 4,035,706,426,775.21

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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.