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Finding the Third Proportional to 909,222,256 and 1,960,364,506

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Solution

The third proportional to 909,222,256 and 1,960,364,506 is: 4,226,721,212.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,222,256 : 1,960,364,506 = 1,960,364,506 : x
  2. Step 2: Convert to fraction form
    909,222,256/1,960,364,506 = 1,960,364,506/x
  3. Step 3: Cross multiply
    909,222,256x = 1,960,364,506 × 1,960,364,506
  4. Step 4: Simplify right side
    909,222,256x = 3,843,028,996,384,624,128
  5. Step 5: Solve for x
    x = 3,843,028,996,384,624,128/909,222,256
  6. Step 6: Final answer
    x = 4,226,721,212.58

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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.