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Finding the Third Proportional to 9,776,400.19 and 14,790,430.41

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Solution

The third proportional to 9,776,400.19 and 14,790,430.41 is: 22,376,010.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776,400.19 : 14,790,430.41 = 14,790,430.41 : x
  2. Step 2: Convert to fraction form
    9,776,400.19/14,790,430.41 = 14,790,430.41/x
  3. Step 3: Cross multiply
    9,776,400.19x = 14,790,430.41 × 14,790,430.41
  4. Step 4: Simplify right side
    9,776,400.19x = 218,756,831,602,124.53
  5. Step 5: Solve for x
    x = 218,756,831,602,124.53/9,776,400.19
  6. Step 6: Final answer
    x = 22,376,010.33

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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.