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Finding the Third Proportional to 16,328,284,648,008 and 34,985,576,127,708

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Solution

The third proportional to 16,328,284,648,008 and 34,985,576,127,708 is: 74,961,366,939,237.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,328,284,648,008 : 34,985,576,127,708 = 34,985,576,127,708 : x
  2. Step 2: Convert to fraction form
    16,328,284,648,008/34,985,576,127,708 = 34,985,576,127,708/x
  3. Step 3: Cross multiply
    16,328,284,648,008x = 34,985,576,127,708 × 34,985,576,127,708
  4. Step 4: Simplify right side
    16,328,284,648,008x = 1,223,990,536,987,651,895,094,935,552
  5. Step 5: Solve for x
    x = 1,223,990,536,987,651,895,094,935,552/16,328,284,648,008
  6. Step 6: Final answer
    x = 74,961,366,939,237.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.