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Finding the Third Proportional to 1,455,426,702 and 3,165,859,548

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Solution

The third proportional to 1,455,426,702 and 3,165,859,548 is: 6,886,411,156.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455,426,702 : 3,165,859,548 = 3,165,859,548 : x
  2. Step 2: Convert to fraction form
    1,455,426,702/3,165,859,548 = 3,165,859,548/x
  3. Step 3: Cross multiply
    1,455,426,702x = 3,165,859,548 × 3,165,859,548
  4. Step 4: Simplify right side
    1,455,426,702x = 10,022,666,677,662,765,056
  5. Step 5: Solve for x
    x = 10,022,666,677,662,765,056/1,455,426,702
  6. Step 6: Final answer
    x = 6,886,411,156.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.