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Finding the Third Proportional to 3,097,463.63 and 6,643,319.25

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Solution

The third proportional to 3,097,463.63 and 6,643,319.25 is: 14,248,332.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,463.63 : 6,643,319.25 = 6,643,319.25 : x
  2. Step 2: Convert to fraction form
    3,097,463.63/6,643,319.25 = 6,643,319.25/x
  3. Step 3: Cross multiply
    3,097,463.63x = 6,643,319.25 × 6,643,319.25
  4. Step 4: Simplify right side
    3,097,463.63x = 44,133,690,657,420.56
  5. Step 5: Solve for x
    x = 44,133,690,657,420.56/3,097,463.63
  6. Step 6: Final answer
    x = 14,248,332.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.