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Finding the Third Proportional to 870,830,811,630 and 1,363,088,064,159

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Solution

The third proportional to 870,830,811,630 and 1,363,088,064,159 is: 2,133,605,111,163.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,830,811,630 : 1,363,088,064,159 = 1,363,088,064,159 : x
  2. Step 2: Convert to fraction form
    870,830,811,630/1,363,088,064,159 = 1,363,088,064,159/x
  3. Step 3: Cross multiply
    870,830,811,630x = 1,363,088,064,159 × 1,363,088,064,159
  4. Step 4: Simplify right side
    870,830,811,630x = 1,858,009,070,652,729,969,344,512
  5. Step 5: Solve for x
    x = 1,858,009,070,652,729,969,344,512/870,830,811,630
  6. Step 6: Final answer
    x = 2,133,605,111,163.85

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.