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Finding the Third Proportional to 548,802,913,248 and 1,188,778,742,208

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Solution

The third proportional to 548,802,913,248 and 1,188,778,742,208 is: 2,575,049,920,128.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,802,913,248 : 1,188,778,742,208 = 1,188,778,742,208 : x
  2. Step 2: Convert to fraction form
    548,802,913,248/1,188,778,742,208 = 1,188,778,742,208/x
  3. Step 3: Cross multiply
    548,802,913,248x = 1,188,778,742,208 × 1,188,778,742,208
  4. Step 4: Simplify right side
    548,802,913,248x = 1,413,194,897,925,634,466,512,896
  5. Step 5: Solve for x
    x = 1,413,194,897,925,634,466,512,896/548,802,913,248
  6. Step 6: Final answer
    x = 2,575,049,920,128.65

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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.