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Finding the Third Proportional to 9,776,400.25 and 14,790,430.25

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Solution

The third proportional to 9,776,400.25 and 14,790,430.25 is: 22,376,009.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776,400.25 : 14,790,430.25 = 14,790,430.25 : x
  2. Step 2: Convert to fraction form
    9,776,400.25/14,790,430.25 = 14,790,430.25/x
  3. Step 3: Cross multiply
    9,776,400.25x = 14,790,430.25 × 14,790,430.25
  4. Step 4: Simplify right side
    9,776,400.25x = 218,756,826,980,115.06
  5. Step 5: Solve for x
    x = 218,756,826,980,115.06/9,776,400.25
  6. Step 6: Final answer
    x = 22,376,009.72

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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.