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Finding the Third Proportional to 646,938,048 and 925,127,904

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Solution

The third proportional to 646,938,048 and 925,127,904 is: 1,322,942,191.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,938,048 : 925,127,904 = 925,127,904 : x
  2. Step 2: Convert to fraction form
    646,938,048/925,127,904 = 925,127,904/x
  3. Step 3: Cross multiply
    646,938,048x = 925,127,904 × 925,127,904
  4. Step 4: Simplify right side
    646,938,048x = 855,861,638,759,433,216
  5. Step 5: Solve for x
    x = 855,861,638,759,433,216/646,938,048
  6. Step 6: Final answer
    x = 1,322,942,191.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.