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Finding the Third Proportional to 713,221,371 and 1,553,060,612.25

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Solution

The third proportional to 713,221,371 and 1,553,060,612.25 is: 3,381,835,378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,221,371 : 1,553,060,612.25 = 1,553,060,612.25 : x
  2. Step 2: Convert to fraction form
    713,221,371/1,553,060,612.25 = 1,553,060,612.25/x
  3. Step 3: Cross multiply
    713,221,371x = 1,553,060,612.25 × 1,553,060,612.25
  4. Step 4: Simplify right side
    713,221,371x = 2,411,997,265,322,344,960
  5. Step 5: Solve for x
    x = 2,411,997,265,322,344,960/713,221,371
  6. Step 6: Final answer
    x = 3,381,835,378.74

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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.