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Finding the Third Proportional to 14,358,423 and 30,735,114

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Solution

The third proportional to 14,358,423 and 30,735,114 is: 65,790,458.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,358,423 : 30,735,114 = 30,735,114 : x
  2. Step 2: Convert to fraction form
    14,358,423/30,735,114 = 30,735,114/x
  3. Step 3: Cross multiply
    14,358,423x = 30,735,114 × 30,735,114
  4. Step 4: Simplify right side
    14,358,423x = 944,647,232,592,996
  5. Step 5: Solve for x
    x = 944,647,232,592,996/14,358,423
  6. Step 6: Final answer
    x = 65,790,458.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.