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Finding the Third Proportional to 33,566,284 and 51,832,215.50

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Solution

The third proportional to 33,566,284 and 51,832,215.50 is: 80,038,009.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,566,284 : 51,832,215.50 = 51,832,215.50 : x
  2. Step 2: Convert to fraction form
    33,566,284/51,832,215.50 = 51,832,215.50/x
  3. Step 3: Cross multiply
    33,566,284x = 51,832,215.50 × 51,832,215.50
  4. Step 4: Simplify right side
    33,566,284x = 2,686,578,563,638,440
  5. Step 5: Solve for x
    x = 2,686,578,563,638,440/33,566,284
  6. Step 6: Final answer
    x = 80,038,009.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.