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Finding the Third Proportional to 67,249,016 and 106,503,444

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Solution

The third proportional to 67,249,016 and 106,503,444 is: 168,671,368.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,249,016 : 106,503,444 = 106,503,444 : x
  2. Step 2: Convert to fraction form
    67,249,016/106,503,444 = 106,503,444/x
  3. Step 3: Cross multiply
    67,249,016x = 106,503,444 × 106,503,444
  4. Step 4: Simplify right side
    67,249,016x = 11,342,983,583,861,136
  5. Step 5: Solve for x
    x = 11,342,983,583,861,136/67,249,016
  6. Step 6: Final answer
    x = 168,671,368.87

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.