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Finding the Third Proportional to 2,881,664 and 6,670,532

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Solution

The third proportional to 2,881,664 and 6,670,532 is: 15,441,077.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881,664 : 6,670,532 = 6,670,532 : x
  2. Step 2: Convert to fraction form
    2,881,664/6,670,532 = 6,670,532/x
  3. Step 3: Cross multiply
    2,881,664x = 6,670,532 × 6,670,532
  4. Step 4: Simplify right side
    2,881,664x = 44,495,997,163,024
  5. Step 5: Solve for x
    x = 44,495,997,163,024/2,881,664
  6. Step 6: Final answer
    x = 15,441,077.50

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.