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Finding the Third Proportional to 7,235,208,402 and 15,672,403,450

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Solution

The third proportional to 7,235,208,402 and 15,672,403,450 is: 33,948,466,478.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235,208,402 : 15,672,403,450 = 15,672,403,450 : x
  2. Step 2: Convert to fraction form
    7,235,208,402/15,672,403,450 = 15,672,403,450/x
  3. Step 3: Cross multiply
    7,235,208,402x = 15,672,403,450 × 15,672,403,450
  4. Step 4: Simplify right side
    7,235,208,402x = 245,624,229,899,571,888,128
  5. Step 5: Solve for x
    x = 245,624,229,899,571,888,128/7,235,208,402
  6. Step 6: Final answer
    x = 33,948,466,478.41

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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.