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Finding the Third Proportional to 12,564,537,272 and 19,481,747,628

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Solution

The third proportional to 12,564,537,272 and 19,481,747,628 is: 30,207,120,439.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564,537,272 : 19,481,747,628 = 19,481,747,628 : x
  2. Step 2: Convert to fraction form
    12,564,537,272/19,481,747,628 = 19,481,747,628/x
  3. Step 3: Cross multiply
    12,564,537,272x = 19,481,747,628 × 19,481,747,628
  4. Step 4: Simplify right side
    12,564,537,272x = 379,538,490,641,083,596,800
  5. Step 5: Solve for x
    x = 379,538,490,641,083,596,800/12,564,537,272
  6. Step 6: Final answer
    x = 30,207,120,439.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.