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Finding the Third Proportional to 8,826,690 and 19,046,784

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Solution

The third proportional to 8,826,690 and 19,046,784 is: 41,100,342.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,826,690 : 19,046,784 = 19,046,784 : x
  2. Step 2: Convert to fraction form
    8,826,690/19,046,784 = 19,046,784/x
  3. Step 3: Cross multiply
    8,826,690x = 19,046,784 × 19,046,784
  4. Step 4: Simplify right side
    8,826,690x = 362,779,980,742,656
  5. Step 5: Solve for x
    x = 362,779,980,742,656/8,826,690
  6. Step 6: Final answer
    x = 41,100,342.34

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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.