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Finding the Third Proportional to 1,249,608,738 and 2,602,646,833

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Solution

The third proportional to 1,249,608,738 and 2,602,646,833 is: 5,420,713,165.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249,608,738 : 2,602,646,833 = 2,602,646,833 : x
  2. Step 2: Convert to fraction form
    1,249,608,738/2,602,646,833 = 2,602,646,833/x
  3. Step 3: Cross multiply
    1,249,608,738x = 2,602,646,833 × 2,602,646,833
  4. Step 4: Simplify right side
    1,249,608,738x = 6,773,770,537,324,930,048
  5. Step 5: Solve for x
    x = 6,773,770,537,324,930,048/1,249,608,738
  6. Step 6: Final answer
    x = 5,420,713,165.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.