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Finding the Third Proportional to 574,041,258,426 and 1,229,961,663,193

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Solution

The third proportional to 574,041,258,426 and 1,229,961,663,193 is: 2,635,360,561,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,041,258,426 : 1,229,961,663,193 = 1,229,961,663,193 : x
  2. Step 2: Convert to fraction form
    574,041,258,426/1,229,961,663,193 = 1,229,961,663,193/x
  3. Step 3: Cross multiply
    574,041,258,426x = 1,229,961,663,193 × 1,229,961,663,193
  4. Step 4: Simplify right side
    574,041,258,426x = 1,512,805,692,924,490,787,323,904
  5. Step 5: Solve for x
    x = 1,512,805,692,924,490,787,323,904/574,041,258,426
  6. Step 6: Final answer
    x = 2,635,360,561,142.50

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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.