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Finding the Third Proportional to 1,780,213,930 and 3,610,737,428

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Solution

The third proportional to 1,780,213,930 and 3,610,737,428 is: 7,323,515,760.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780,213,930 : 3,610,737,428 = 3,610,737,428 : x
  2. Step 2: Convert to fraction form
    1,780,213,930/3,610,737,428 = 3,610,737,428/x
  3. Step 3: Cross multiply
    1,780,213,930x = 3,610,737,428 × 3,610,737,428
  4. Step 4: Simplify right side
    1,780,213,930x = 13,037,424,773,960,054,784
  5. Step 5: Solve for x
    x = 13,037,424,773,960,054,784/1,780,213,930
  6. Step 6: Final answer
    x = 7,323,515,760.81

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.