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Finding the Third Proportional to 9,700,506 and 13,487,634

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Solution

The third proportional to 9,700,506 and 13,487,634 is: 18,753,276.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700,506 : 13,487,634 = 13,487,634 : x
  2. Step 2: Convert to fraction form
    9,700,506/13,487,634 = 13,487,634/x
  3. Step 3: Cross multiply
    9,700,506x = 13,487,634 × 13,487,634
  4. Step 4: Simplify right side
    9,700,506x = 181,916,270,917,956
  5. Step 5: Solve for x
    x = 181,916,270,917,956/9,700,506
  6. Step 6: Final answer
    x = 18,753,276.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.