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Finding the Third Proportional to 264,846,232 and 413,362,046

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Solution

The third proportional to 264,846,232 and 413,362,046 is: 645,159,947.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,846,232 : 413,362,046 = 413,362,046 : x
  2. Step 2: Convert to fraction form
    264,846,232/413,362,046 = 413,362,046/x
  3. Step 3: Cross multiply
    264,846,232x = 413,362,046 × 413,362,046
  4. Step 4: Simplify right side
    264,846,232x = 170,868,181,073,306,112
  5. Step 5: Solve for x
    x = 170,868,181,073,306,112/264,846,232
  6. Step 6: Final answer
    x = 645,159,947.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.