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Finding the Third Proportional to 16,328,284,648,010 and 34,985,576,127,712

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Solution

The third proportional to 16,328,284,648,010 and 34,985,576,127,712 is: 74,961,366,939,245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,328,284,648,010 : 34,985,576,127,712 = 34,985,576,127,712 : x
  2. Step 2: Convert to fraction form
    16,328,284,648,010/34,985,576,127,712 = 34,985,576,127,712/x
  3. Step 3: Cross multiply
    16,328,284,648,010x = 34,985,576,127,712 × 34,985,576,127,712
  4. Step 4: Simplify right side
    16,328,284,648,010x = 1,223,990,536,987,931,720,804,204,544
  5. Step 5: Solve for x
    x = 1,223,990,536,987,931,720,804,204,544/16,328,284,648,010
  6. Step 6: Final answer
    x = 74,961,366,939,245.81

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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.