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Finding the Third Proportional to 43,113,114 and 65,117,267

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Solution

The third proportional to 43,113,114 and 65,117,267 is: 98,351,941.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,113,114 : 65,117,267 = 65,117,267 : x
  2. Step 2: Convert to fraction form
    43,113,114/65,117,267 = 65,117,267/x
  3. Step 3: Cross multiply
    43,113,114x = 65,117,267 × 65,117,267
  4. Step 4: Simplify right side
    43,113,114x = 4,240,258,461,549,289
  5. Step 5: Solve for x
    x = 4,240,258,461,549,289/43,113,114
  6. Step 6: Final answer
    x = 98,351,941.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.