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Finding the Third Proportional to 5,748,605 and 9,017,877

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Solution

The third proportional to 5,748,605 and 9,017,877 is: 14,146,406.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748,605 : 9,017,877 = 9,017,877 : x
  2. Step 2: Convert to fraction form
    5,748,605/9,017,877 = 9,017,877/x
  3. Step 3: Cross multiply
    5,748,605x = 9,017,877 × 9,017,877
  4. Step 4: Simplify right side
    5,748,605x = 81,322,105,587,129
  5. Step 5: Solve for x
    x = 81,322,105,587,129/5,748,605
  6. Step 6: Final answer
    x = 14,146,406.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.