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Finding the Third Proportional to 6,602,069 and 9,864,952

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Solution

The third proportional to 6,602,069 and 9,864,952 is: 14,740,421.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602,069 : 9,864,952 = 9,864,952 : x
  2. Step 2: Convert to fraction form
    6,602,069/9,864,952 = 9,864,952/x
  3. Step 3: Cross multiply
    6,602,069x = 9,864,952 × 9,864,952
  4. Step 4: Simplify right side
    6,602,069x = 97,317,277,962,304
  5. Step 5: Solve for x
    x = 97,317,277,962,304/6,602,069
  6. Step 6: Final answer
    x = 14,740,421.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.