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Finding the Third Proportional to 7,235,208,404 and 15,672,403,454

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Solution

The third proportional to 7,235,208,404 and 15,672,403,454 is: 33,948,466,486.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235,208,404 : 15,672,403,454 = 15,672,403,454 : x
  2. Step 2: Convert to fraction form
    7,235,208,404/15,672,403,454 = 15,672,403,454/x
  3. Step 3: Cross multiply
    7,235,208,404x = 15,672,403,454 × 15,672,403,454
  4. Step 4: Simplify right side
    7,235,208,404x = 245,624,230,024,951,136,256
  5. Step 5: Solve for x
    x = 245,624,230,024,951,136,256/7,235,208,404
  6. Step 6: Final answer
    x = 33,948,466,486.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.