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Finding the Third Proportional to 1,873,684,656 and 4,166,298,458

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Solution

The third proportional to 1,873,684,656 and 4,166,298,458 is: 9,264,121,785.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873,684,656 : 4,166,298,458 = 4,166,298,458 : x
  2. Step 2: Convert to fraction form
    1,873,684,656/4,166,298,458 = 4,166,298,458/x
  3. Step 3: Cross multiply
    1,873,684,656x = 4,166,298,458 × 4,166,298,458
  4. Step 4: Simplify right side
    1,873,684,656x = 17,358,042,841,133,176,832
  5. Step 5: Solve for x
    x = 17,358,042,841,133,176,832/1,873,684,656
  6. Step 6: Final answer
    x = 9,264,121,785.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.