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Finding the Third Proportional to 10,004,377,538 and 14,715,572,835

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Solution

The third proportional to 10,004,377,538 and 14,715,572,835 is: 21,645,333,059.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004,377,538 : 14,715,572,835 = 14,715,572,835 : x
  2. Step 2: Convert to fraction form
    10,004,377,538/14,715,572,835 = 14,715,572,835/x
  3. Step 3: Cross multiply
    10,004,377,538x = 14,715,572,835 × 14,715,572,835
  4. Step 4: Simplify right side
    10,004,377,538x = 216,548,083,862,189,932,544
  5. Step 5: Solve for x
    x = 216,548,083,862,189,932,544/10,004,377,538
  6. Step 6: Final answer
    x = 21,645,333,059.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.