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Finding the Third Proportional to 53,538,352 and 72,235,884

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Solution

The third proportional to 53,538,352 and 72,235,884 is: 97,463,271.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,538,352 : 72,235,884 = 72,235,884 : x
  2. Step 2: Convert to fraction form
    53,538,352/72,235,884 = 72,235,884/x
  3. Step 3: Cross multiply
    53,538,352x = 72,235,884 × 72,235,884
  4. Step 4: Simplify right side
    53,538,352x = 5,218,022,937,261,456
  5. Step 5: Solve for x
    x = 5,218,022,937,261,456/53,538,352
  6. Step 6: Final answer
    x = 97,463,271.51

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.