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Finding the Third Proportional to 5,206,561,579 and 7,931,658,617

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Solution

The third proportional to 5,206,561,579 and 7,931,658,617 is: 12,083,062,393.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206,561,579 : 7,931,658,617 = 7,931,658,617 : x
  2. Step 2: Convert to fraction form
    5,206,561,579/7,931,658,617 = 7,931,658,617/x
  3. Step 3: Cross multiply
    5,206,561,579x = 7,931,658,617 × 7,931,658,617
  4. Step 4: Simplify right side
    5,206,561,579x = 62,911,208,416,630,349,824
  5. Step 5: Solve for x
    x = 62,911,208,416,630,349,824/5,206,561,579
  6. Step 6: Final answer
    x = 12,083,062,393.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.