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Finding the Third Proportional to 2,938,668.56 and 6,232,908.19

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Solution

The third proportional to 2,938,668.56 and 6,232,908.19 is: 13,219,981.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938,668.56 : 6,232,908.19 = 6,232,908.19 : x
  2. Step 2: Convert to fraction form
    2,938,668.56/6,232,908.19 = 6,232,908.19/x
  3. Step 3: Cross multiply
    2,938,668.56x = 6,232,908.19 × 6,232,908.19
  4. Step 4: Simplify right side
    2,938,668.56x = 38,849,144,473,804.53
  5. Step 5: Solve for x
    x = 38,849,144,473,804.53/2,938,668.56
  6. Step 6: Final answer
    x = 13,219,981.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.