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Finding the Third Proportional to 13,448,366,207.50 and 29,430,109,817

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Solution

The third proportional to 13,448,366,207.50 and 29,430,109,817 is: 64,404,207,208.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,448,366,207.50 : 29,430,109,817 = 29,430,109,817 : x
  2. Step 2: Convert to fraction form
    13,448,366,207.50/29,430,109,817 = 29,430,109,817/x
  3. Step 3: Cross multiply
    13,448,366,207.50x = 29,430,109,817 × 29,430,109,817
  4. Step 4: Simplify right side
    13,448,366,207.50x = 866,131,363,840,679,739,392
  5. Step 5: Solve for x
    x = 866,131,363,840,679,739,392/13,448,366,207.50
  6. Step 6: Final answer
    x = 64,404,207,208.28

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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.