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Finding the Third Proportional to 16,328,284,648,113 and 34,985,576,127,894

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Solution

The third proportional to 16,328,284,648,113 and 34,985,576,127,894 is: 74,961,366,939,552.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,328,284,648,113 : 34,985,576,127,894 = 34,985,576,127,894 : x
  2. Step 2: Convert to fraction form
    16,328,284,648,113/34,985,576,127,894 = 34,985,576,127,894/x
  3. Step 3: Cross multiply
    16,328,284,648,113x = 34,985,576,127,894 × 34,985,576,127,894
  4. Step 4: Simplify right side
    16,328,284,648,113x = 1,223,990,537,000,666,539,355,013,120
  5. Step 5: Solve for x
    x = 1,223,990,537,000,666,539,355,013,120/16,328,284,648,113
  6. Step 6: Final answer
    x = 74,961,366,939,552.88

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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.