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Finding the Third Proportional to 1,102,314,836 and 1,632,808,826

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Solution

The third proportional to 1,102,314,836 and 1,632,808,826 is: 2,418,605,443.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,314,836 : 1,632,808,826 = 1,632,808,826 : x
  2. Step 2: Convert to fraction form
    1,102,314,836/1,632,808,826 = 1,632,808,826/x
  3. Step 3: Cross multiply
    1,102,314,836x = 1,632,808,826 × 1,632,808,826
  4. Step 4: Simplify right side
    1,102,314,836x = 2,666,064,662,263,498,240
  5. Step 5: Solve for x
    x = 2,666,064,662,263,498,240/1,102,314,836
  6. Step 6: Final answer
    x = 2,418,605,443.01

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.