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Finding the Third Proportional to 3,985,693,076 and 8,562,875,827

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Solution

The third proportional to 3,985,693,076 and 8,562,875,827 is: 18,396,509,974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985,693,076 : 8,562,875,827 = 8,562,875,827 : x
  2. Step 2: Convert to fraction form
    3,985,693,076/8,562,875,827 = 8,562,875,827/x
  3. Step 3: Cross multiply
    3,985,693,076x = 8,562,875,827 × 8,562,875,827
  4. Step 4: Simplify right side
    3,985,693,076x = 73,322,842,428,620,931,072
  5. Step 5: Solve for x
    x = 73,322,842,428,620,931,072/3,985,693,076
  6. Step 6: Final answer
    x = 18,396,509,974.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.