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Finding the Third Proportional to 38,484,315 and 82,984,014

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Solution

The third proportional to 38,484,315 and 82,984,014 is: 178,939,045.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,484,315 : 82,984,014 = 82,984,014 : x
  2. Step 2: Convert to fraction form
    38,484,315/82,984,014 = 82,984,014/x
  3. Step 3: Cross multiply
    38,484,315x = 82,984,014 × 82,984,014
  4. Step 4: Simplify right side
    38,484,315x = 6,886,346,579,552,196
  5. Step 5: Solve for x
    x = 6,886,346,579,552,196/38,484,315
  6. Step 6: Final answer
    x = 178,939,045.16

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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.