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Finding the Third Proportional to 424,246,646.25 and 913,331,261.25

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Solution

The third proportional to 424,246,646.25 and 913,331,261.25 is: 1,966,247,700.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,246,646.25 : 913,331,261.25 = 913,331,261.25 : x
  2. Step 2: Convert to fraction form
    424,246,646.25/913,331,261.25 = 913,331,261.25/x
  3. Step 3: Cross multiply
    424,246,646.25x = 913,331,261.25 × 913,331,261.25
  4. Step 4: Simplify right side
    424,246,646.25x = 834,173,992,776,515,712
  5. Step 5: Solve for x
    x = 834,173,992,776,515,712/424,246,646.25
  6. Step 6: Final answer
    x = 1,966,247,700.84

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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.