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Finding the Third Proportional to 51,689,944 and 112,768,688

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Solution

The third proportional to 51,689,944 and 112,768,688 is: 246,020,328.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,689,944 : 112,768,688 = 112,768,688 : x
  2. Step 2: Convert to fraction form
    51,689,944/112,768,688 = 112,768,688/x
  3. Step 3: Cross multiply
    51,689,944x = 112,768,688 × 112,768,688
  4. Step 4: Simplify right side
    51,689,944x = 12,716,776,993,241,344
  5. Step 5: Solve for x
    x = 12,716,776,993,241,344/51,689,944
  6. Step 6: Final answer
    x = 246,020,328.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.