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Finding the Third Proportional to 713,221,376 and 1,553,060,623

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Solution

The third proportional to 713,221,376 and 1,553,060,623 is: 3,381,835,401.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,221,376 : 1,553,060,623 = 1,553,060,623 : x
  2. Step 2: Convert to fraction form
    713,221,376/1,553,060,623 = 1,553,060,623/x
  3. Step 3: Cross multiply
    713,221,376x = 1,553,060,623 × 1,553,060,623
  4. Step 4: Simplify right side
    713,221,376x = 2,411,997,298,713,147,904
  5. Step 5: Solve for x
    x = 2,411,997,298,713,147,904/713,221,376
  6. Step 6: Final answer
    x = 3,381,835,401.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.