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Finding the Third Proportional to 48,477,874 and 77,175,258

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Solution

The third proportional to 48,477,874 and 77,175,258 is: 122,860,595.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,477,874 : 77,175,258 = 77,175,258 : x
  2. Step 2: Convert to fraction form
    48,477,874/77,175,258 = 77,175,258/x
  3. Step 3: Cross multiply
    48,477,874x = 77,175,258 × 77,175,258
  4. Step 4: Simplify right side
    48,477,874x = 5,956,020,447,366,564
  5. Step 5: Solve for x
    x = 5,956,020,447,366,564/48,477,874
  6. Step 6: Final answer
    x = 122,860,595.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.