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Finding the Third Proportional to 60,416,646 and 130,460,129

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Solution

The third proportional to 60,416,646 and 130,460,129 is: 281,707,879.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,416,646 : 130,460,129 = 130,460,129 : x
  2. Step 2: Convert to fraction form
    60,416,646/130,460,129 = 130,460,129/x
  3. Step 3: Cross multiply
    60,416,646x = 130,460,129 × 130,460,129
  4. Step 4: Simplify right side
    60,416,646x = 17,019,845,258,696,640
  5. Step 5: Solve for x
    x = 17,019,845,258,696,640/60,416,646
  6. Step 6: Final answer
    x = 281,707,879.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.