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Finding the Third Proportional to 11,539,152 and 17,938,368

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Solution

The third proportional to 11,539,152 and 17,938,368 is: 27,886,368.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539,152 : 17,938,368 = 17,938,368 : x
  2. Step 2: Convert to fraction form
    11,539,152/17,938,368 = 17,938,368/x
  3. Step 3: Cross multiply
    11,539,152x = 17,938,368 × 17,938,368
  4. Step 4: Simplify right side
    11,539,152x = 321,785,046,503,424
  5. Step 5: Solve for x
    x = 321,785,046,503,424/11,539,152
  6. Step 6: Final answer
    x = 27,886,368.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.