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Finding the Third Proportional to 574,041,258,433 and 1,229,961,663,205

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Solution

The third proportional to 574,041,258,433 and 1,229,961,663,205 is: 2,635,360,561,161.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,041,258,433 : 1,229,961,663,205 = 1,229,961,663,205 : x
  2. Step 2: Convert to fraction form
    574,041,258,433/1,229,961,663,205 = 1,229,961,663,205/x
  3. Step 3: Cross multiply
    574,041,258,433x = 1,229,961,663,205 × 1,229,961,663,205
  4. Step 4: Simplify right side
    574,041,258,433x = 1,512,805,692,954,009,829,113,856
  5. Step 5: Solve for x
    x = 1,512,805,692,954,009,829,113,856/574,041,258,433
  6. Step 6: Final answer
    x = 2,635,360,561,161.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.