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Finding the Third Proportional to 9,832,518 and 14,885,260.50

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Solution

The third proportional to 9,832,518 and 14,885,260.50 is: 22,534,510.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832,518 : 14,885,260.50 = 14,885,260.50 : x
  2. Step 2: Convert to fraction form
    9,832,518/14,885,260.50 = 14,885,260.50/x
  3. Step 3: Cross multiply
    9,832,518x = 14,885,260.50 × 14,885,260.50
  4. Step 4: Simplify right side
    9,832,518x = 221,570,980,152,860.25
  5. Step 5: Solve for x
    x = 221,570,980,152,860.25/9,832,518
  6. Step 6: Final answer
    x = 22,534,510.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.