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Finding the Third Proportional to 1,063,642,470 and 1,633,885,065

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Solution

The third proportional to 1,063,642,470 and 1,633,885,065 is: 2,509,847,510.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063,642,470 : 1,633,885,065 = 1,633,885,065 : x
  2. Step 2: Convert to fraction form
    1,063,642,470/1,633,885,065 = 1,633,885,065/x
  3. Step 3: Cross multiply
    1,063,642,470x = 1,633,885,065 × 1,633,885,065
  4. Step 4: Simplify right side
    1,063,642,470x = 2,669,580,405,630,054,400
  5. Step 5: Solve for x
    x = 2,669,580,405,630,054,400/1,063,642,470
  6. Step 6: Final answer
    x = 2,509,847,510.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.