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Finding the Third Proportional to 756,319,968 and 1,645,154,640

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Solution

The third proportional to 756,319,968 and 1,645,154,640 is: 3,578,556,568.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,319,968 : 1,645,154,640 = 1,645,154,640 : x
  2. Step 2: Convert to fraction form
    756,319,968/1,645,154,640 = 1,645,154,640/x
  3. Step 3: Cross multiply
    756,319,968x = 1,645,154,640 × 1,645,154,640
  4. Step 4: Simplify right side
    756,319,968x = 2,706,533,789,513,529,344
  5. Step 5: Solve for x
    x = 2,706,533,789,513,529,344/756,319,968
  6. Step 6: Final answer
    x = 3,578,556,568.68

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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.