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Finding the Third Proportional to 7,013,138 and 9,503,640

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Solution

The third proportional to 7,013,138 and 9,503,640 is: 12,878,567.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013,138 : 9,503,640 = 9,503,640 : x
  2. Step 2: Convert to fraction form
    7,013,138/9,503,640 = 9,503,640/x
  3. Step 3: Cross multiply
    7,013,138x = 9,503,640 × 9,503,640
  4. Step 4: Simplify right side
    7,013,138x = 90,319,173,249,600
  5. Step 5: Solve for x
    x = 90,319,173,249,600/7,013,138
  6. Step 6: Final answer
    x = 12,878,567.80

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.