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Finding the Third Proportional to 11,396,258,765 and 25,111,050,271

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Solution

The third proportional to 11,396,258,765 and 25,111,050,271 is: 55,330,864,164.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396,258,765 : 25,111,050,271 = 25,111,050,271 : x
  2. Step 2: Convert to fraction form
    11,396,258,765/25,111,050,271 = 25,111,050,271/x
  3. Step 3: Cross multiply
    11,396,258,765x = 25,111,050,271 × 25,111,050,271
  4. Step 4: Simplify right side
    11,396,258,765x = 630,564,845,712,689,201,152
  5. Step 5: Solve for x
    x = 630,564,845,712,689,201,152/11,396,258,765
  6. Step 6: Final answer
    x = 55,330,864,164.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.