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Finding the Third Proportional to 909,222,258 and 1,960,364,508

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Solution

The third proportional to 909,222,258 and 1,960,364,508 is: 4,226,721,211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,222,258 : 1,960,364,508 = 1,960,364,508 : x
  2. Step 2: Convert to fraction form
    909,222,258/1,960,364,508 = 1,960,364,508/x
  3. Step 3: Cross multiply
    909,222,258x = 1,960,364,508 × 1,960,364,508
  4. Step 4: Simplify right side
    909,222,258x = 3,843,029,004,226,082,304
  5. Step 5: Solve for x
    x = 3,843,029,004,226,082,304/909,222,258
  6. Step 6: Final answer
    x = 4,226,721,211.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.