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Finding the Third Proportional to 3,620,690,017 and 7,818,328,128

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Solution

The third proportional to 3,620,690,017 and 7,818,328,128 is: 16,882,487,710.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620,690,017 : 7,818,328,128 = 7,818,328,128 : x
  2. Step 2: Convert to fraction form
    3,620,690,017/7,818,328,128 = 7,818,328,128/x
  3. Step 3: Cross multiply
    3,620,690,017x = 7,818,328,128 × 7,818,328,128
  4. Step 4: Simplify right side
    3,620,690,017x = 61,126,254,717,075,980,288
  5. Step 5: Solve for x
    x = 61,126,254,717,075,980,288/3,620,690,017
  6. Step 6: Final answer
    x = 16,882,487,710.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.