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Finding the Third Proportional to 713,221,396 and 1,553,060,656

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Solution

The third proportional to 713,221,396 and 1,553,060,656 is: 3,381,835,450.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,221,396 : 1,553,060,656 = 1,553,060,656 : x
  2. Step 2: Convert to fraction form
    713,221,396/1,553,060,656 = 1,553,060,656/x
  3. Step 3: Cross multiply
    713,221,396x = 1,553,060,656 × 1,553,060,656
  4. Step 4: Simplify right side
    713,221,396x = 2,411,997,401,215,150,080
  5. Step 5: Solve for x
    x = 2,411,997,401,215,150,080/713,221,396
  6. Step 6: Final answer
    x = 3,381,835,450.73

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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.