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Finding the Third Proportional to 7,167,574,509.75 and 9,965,939,436

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Solution

The third proportional to 7,167,574,509.75 and 9,965,939,436 is: 13,856,842,186.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167,574,509.75 : 9,965,939,436 = 9,965,939,436 : x
  2. Step 2: Convert to fraction form
    7,167,574,509.75/9,965,939,436 = 9,965,939,436/x
  3. Step 3: Cross multiply
    7,167,574,509.75x = 9,965,939,436 × 9,965,939,436
  4. Step 4: Simplify right side
    7,167,574,509.75x = 99,319,948,842,019,995,648
  5. Step 5: Solve for x
    x = 99,319,948,842,019,995,648/7,167,574,509.75
  6. Step 6: Final answer
    x = 13,856,842,186.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.