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Finding the Third Proportional to 6,366,854.81 and 13,742,461.69

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Solution

The third proportional to 6,366,854.81 and 13,742,461.69 is: 29,662,252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366,854.81 : 13,742,461.69 = 13,742,461.69 : x
  2. Step 2: Convert to fraction form
    6,366,854.81/13,742,461.69 = 13,742,461.69/x
  3. Step 3: Cross multiply
    6,366,854.81x = 13,742,461.69 × 13,742,461.69
  4. Step 4: Simplify right side
    6,366,854.81x = 188,855,253,232,405.34
  5. Step 5: Solve for x
    x = 188,855,253,232,405.34/6,366,854.81
  6. Step 6: Final answer
    x = 29,662,252.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.