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Finding the Third Proportional to 334,329,226,830 and 511,217,354,592

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Solution

The third proportional to 334,329,226,830 and 511,217,354,592 is: 781,694,098,700.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,329,226,830 : 511,217,354,592 = 511,217,354,592 : x
  2. Step 2: Convert to fraction form
    334,329,226,830/511,217,354,592 = 511,217,354,592/x
  3. Step 3: Cross multiply
    334,329,226,830x = 511,217,354,592 × 511,217,354,592
  4. Step 4: Simplify right side
    334,329,226,830x = 261,343,183,636,042,679,844,864
  5. Step 5: Solve for x
    x = 261,343,183,636,042,679,844,864/334,329,226,830
  6. Step 6: Final answer
    x = 781,694,098,700.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.