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Finding the Third Proportional to 19,383,576 and 30,411,294

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Solution

The third proportional to 19,383,576 and 30,411,294 is: 47,712,909.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,383,576 : 30,411,294 = 30,411,294 : x
  2. Step 2: Convert to fraction form
    19,383,576/30,411,294 = 30,411,294/x
  3. Step 3: Cross multiply
    19,383,576x = 30,411,294 × 30,411,294
  4. Step 4: Simplify right side
    19,383,576x = 924,846,802,754,436
  5. Step 5: Solve for x
    x = 924,846,802,754,436/19,383,576
  6. Step 6: Final answer
    x = 47,712,909.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.