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Finding the Third Proportional to 6,576,799,216 and 9,502,339,128

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Solution

The third proportional to 6,576,799,216 and 9,502,339,128 is: 13,729,239,093.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576,799,216 : 9,502,339,128 = 9,502,339,128 : x
  2. Step 2: Convert to fraction form
    6,576,799,216/9,502,339,128 = 9,502,339,128/x
  3. Step 3: Cross multiply
    6,576,799,216x = 9,502,339,128 × 9,502,339,128
  4. Step 4: Simplify right side
    6,576,799,216x = 90,294,448,903,519,797,248
  5. Step 5: Solve for x
    x = 90,294,448,903,519,797,248/6,576,799,216
  6. Step 6: Final answer
    x = 13,729,239,093.06

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.