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Finding the Third Proportional to 6,170,739,642 and 9,400,484,277

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Solution

The third proportional to 6,170,739,642 and 9,400,484,277 is: 14,320,666,527.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170,739,642 : 9,400,484,277 = 9,400,484,277 : x
  2. Step 2: Convert to fraction form
    6,170,739,642/9,400,484,277 = 9,400,484,277/x
  3. Step 3: Cross multiply
    6,170,739,642x = 9,400,484,277 × 9,400,484,277
  4. Step 4: Simplify right side
    6,170,739,642x = 88,369,104,642,124,218,368
  5. Step 5: Solve for x
    x = 88,369,104,642,124,218,368/6,170,739,642
  6. Step 6: Final answer
    x = 14,320,666,527.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.