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Finding the Third Proportional to 1,211,025,102 and 2,651,317,644

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Solution

The third proportional to 1,211,025,102 and 2,651,317,644 is: 5,804,574,354.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211,025,102 : 2,651,317,644 = 2,651,317,644 : x
  2. Step 2: Convert to fraction form
    1,211,025,102/2,651,317,644 = 2,651,317,644/x
  3. Step 3: Cross multiply
    1,211,025,102x = 2,651,317,644 × 2,651,317,644
  4. Step 4: Simplify right side
    1,211,025,102x = 7,029,485,249,385,710,592
  5. Step 5: Solve for x
    x = 7,029,485,249,385,710,592/1,211,025,102
  6. Step 6: Final answer
    x = 5,804,574,354.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.