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Finding the Third Proportional to 13,448,366,216 and 29,430,109,832

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Solution

The third proportional to 13,448,366,216 and 29,430,109,832 is: 64,404,207,233.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,448,366,216 : 29,430,109,832 = 29,430,109,832 : x
  2. Step 2: Convert to fraction form
    13,448,366,216/29,430,109,832 = 29,430,109,832/x
  3. Step 3: Cross multiply
    13,448,366,216x = 29,430,109,832 × 29,430,109,832
  4. Step 4: Simplify right side
    13,448,366,216x = 866,131,364,723,583,090,688
  5. Step 5: Solve for x
    x = 866,131,364,723,583,090,688/13,448,366,216
  6. Step 6: Final answer
    x = 64,404,207,233.23

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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.