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Finding the Third Proportional to 51,048,020 and 112,014,652

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Solution

The third proportional to 51,048,020 and 112,014,652 is: 245,793,710.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,048,020 : 112,014,652 = 112,014,652 : x
  2. Step 2: Convert to fraction form
    51,048,020/112,014,652 = 112,014,652/x
  3. Step 3: Cross multiply
    51,048,020x = 112,014,652 × 112,014,652
  4. Step 4: Simplify right side
    51,048,020x = 12,547,282,262,681,104
  5. Step 5: Solve for x
    x = 12,547,282,262,681,104/51,048,020
  6. Step 6: Final answer
    x = 245,793,710.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.