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Finding the Third Proportional to 397,735,303.22 and 937,572,696.28

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Solution

The third proportional to 397,735,303.22 and 937,572,696.28 is: 2,210,119,528.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,735,303.22 : 937,572,696.28 = 937,572,696.28 : x
  2. Step 2: Convert to fraction form
    397,735,303.22/937,572,696.28 = 937,572,696.28/x
  3. Step 3: Cross multiply
    397,735,303.22x = 937,572,696.28 × 937,572,696.28
  4. Step 4: Simplify right side
    397,735,303.22x = 879,042,560,812,074,240
  5. Step 5: Solve for x
    x = 879,042,560,812,074,240/397,735,303.22
  6. Step 6: Final answer
    x = 2,210,119,528.49

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.