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Finding the Third Proportional to 1,103,755,326 and 2,403,465,852

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Solution

The third proportional to 1,103,755,326 and 2,403,465,852 is: 5,233,631,010.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103,755,326 : 2,403,465,852 = 2,403,465,852 : x
  2. Step 2: Convert to fraction form
    1,103,755,326/2,403,465,852 = 2,403,465,852/x
  3. Step 3: Cross multiply
    1,103,755,326x = 2,403,465,852 × 2,403,465,852
  4. Step 4: Simplify right side
    1,103,755,326x = 5,776,648,101,730,085,888
  5. Step 5: Solve for x
    x = 5,776,648,101,730,085,888/1,103,755,326
  6. Step 6: Final answer
    x = 5,233,631,010.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.