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Finding the Third Proportional to 742,561,640 and 1,573,640,972

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Solution

The third proportional to 742,561,640 and 1,573,640,972 is: 3,334,869,154.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,561,640 : 1,573,640,972 = 1,573,640,972 : x
  2. Step 2: Convert to fraction form
    742,561,640/1,573,640,972 = 1,573,640,972/x
  3. Step 3: Cross multiply
    742,561,640x = 1,573,640,972 × 1,573,640,972
  4. Step 4: Simplify right side
    742,561,640x = 2,476,345,908,757,104,640
  5. Step 5: Solve for x
    x = 2,476,345,908,757,104,640/742,561,640
  6. Step 6: Final answer
    x = 3,334,869,154.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.