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Finding the Third Proportional to 5,254,223,584 and 11,422,973,888

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Solution

The third proportional to 5,254,223,584 and 11,422,973,888 is: 24,834,179,657.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254,223,584 : 11,422,973,888 = 11,422,973,888 : x
  2. Step 2: Convert to fraction form
    5,254,223,584/11,422,973,888 = 11,422,973,888/x
  3. Step 3: Cross multiply
    5,254,223,584x = 11,422,973,888 × 11,422,973,888
  4. Step 4: Simplify right side
    5,254,223,584x = 130,484,332,445,929,832,448
  5. Step 5: Solve for x
    x = 130,484,332,445,929,832,448/5,254,223,584
  6. Step 6: Final answer
    x = 24,834,179,657.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.