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Finding the Third Proportional to 8,993,913 and 19,565,541

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Solution

The third proportional to 8,993,913 and 19,565,541 is: 42,563,275.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,993,913 : 19,565,541 = 19,565,541 : x
  2. Step 2: Convert to fraction form
    8,993,913/19,565,541 = 19,565,541/x
  3. Step 3: Cross multiply
    8,993,913x = 19,565,541 × 19,565,541
  4. Step 4: Simplify right side
    8,993,913x = 382,810,394,622,681
  5. Step 5: Solve for x
    x = 382,810,394,622,681/8,993,913
  6. Step 6: Final answer
    x = 42,563,275.25

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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.