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Finding the Third Proportional to 849,790,401 and 1,828,720,947

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Solution

The third proportional to 849,790,401 and 1,828,720,947 is: 3,935,347,231.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,790,401 : 1,828,720,947 = 1,828,720,947 : x
  2. Step 2: Convert to fraction form
    849,790,401/1,828,720,947 = 1,828,720,947/x
  3. Step 3: Cross multiply
    849,790,401x = 1,828,720,947 × 1,828,720,947
  4. Step 4: Simplify right side
    849,790,401x = 3,344,220,301,996,576,768
  5. Step 5: Solve for x
    x = 3,344,220,301,996,576,768/849,790,401
  6. Step 6: Final answer
    x = 3,935,347,231.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.