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Finding the Third Proportional to 13,643,174,400 and 29,853,952,896

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Solution

The third proportional to 13,643,174,400 and 29,853,952,896 is: 65,326,329,297.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643,174,400 : 29,853,952,896 = 29,853,952,896 : x
  2. Step 2: Convert to fraction form
    13,643,174,400/29,853,952,896 = 29,853,952,896/x
  3. Step 3: Cross multiply
    13,643,174,400x = 29,853,952,896 × 29,853,952,896
  4. Step 4: Simplify right side
    13,643,174,400x = 891,258,503,516,586,770,432
  5. Step 5: Solve for x
    x = 891,258,503,516,586,770,432/13,643,174,400
  6. Step 6: Final answer
    x = 65,326,329,297.42

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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.