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Finding the Third Proportional to 346,625,401,288 and 754,787,085,020

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Solution

The third proportional to 346,625,401,288 and 754,787,085,020 is: 1,643,571,248,950.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,625,401,288 : 754,787,085,020 = 754,787,085,020 : x
  2. Step 2: Convert to fraction form
    346,625,401,288/754,787,085,020 = 754,787,085,020/x
  3. Step 3: Cross multiply
    346,625,401,288x = 754,787,085,020 × 754,787,085,020
  4. Step 4: Simplify right side
    346,625,401,288x = 569,703,543,712,988,692,217,856
  5. Step 5: Solve for x
    x = 569,703,543,712,988,692,217,856/346,625,401,288
  6. Step 6: Final answer
    x = 1,643,571,248,950.80

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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.