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Finding the Third Proportional to 5,748,984 and 8,836,596.56

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Solution

The third proportional to 5,748,984 and 8,836,596.56 is: 13,582,476.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748,984 : 8,836,596.56 = 8,836,596.56 : x
  2. Step 2: Convert to fraction form
    5,748,984/8,836,596.56 = 8,836,596.56/x
  3. Step 3: Cross multiply
    5,748,984x = 8,836,596.56 × 8,836,596.56
  4. Step 4: Simplify right side
    5,748,984x = 78,085,438,808,386.81
  5. Step 5: Solve for x
    x = 78,085,438,808,386.81/5,748,984
  6. Step 6: Final answer
    x = 13,582,476.28

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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.