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Finding the Third Proportional to 64,456,957,464 and 138,709,438,356

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Solution

The third proportional to 64,456,957,464 and 138,709,438,356 is: 298,498,549,202.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,456,957,464 : 138,709,438,356 = 138,709,438,356 : x
  2. Step 2: Convert to fraction form
    64,456,957,464/138,709,438,356 = 138,709,438,356/x
  3. Step 3: Cross multiply
    64,456,957,464x = 138,709,438,356 × 138,709,438,356
  4. Step 4: Simplify right side
    64,456,957,464x = 19,240,308,289,036,963,807,232
  5. Step 5: Solve for x
    x = 19,240,308,289,036,963,807,232/64,456,957,464
  6. Step 6: Final answer
    x = 298,498,549,202.90

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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.