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Finding the Third Proportional to 30,386,214 and 70,283,700

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Solution

The third proportional to 30,386,214 and 70,283,700 is: 162,567,093.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,386,214 : 70,283,700 = 70,283,700 : x
  2. Step 2: Convert to fraction form
    30,386,214/70,283,700 = 70,283,700/x
  3. Step 3: Cross multiply
    30,386,214x = 70,283,700 × 70,283,700
  4. Step 4: Simplify right side
    30,386,214x = 4,939,798,485,690,000
  5. Step 5: Solve for x
    x = 4,939,798,485,690,000/30,386,214
  6. Step 6: Final answer
    x = 162,567,093.28

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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.