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Finding the Third Proportional to 14,046,984 and 30,778,236

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Solution

The third proportional to 14,046,984 and 30,778,236 is: 67,437,950.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046,984 : 30,778,236 = 30,778,236 : x
  2. Step 2: Convert to fraction form
    14,046,984/30,778,236 = 30,778,236/x
  3. Step 3: Cross multiply
    14,046,984x = 30,778,236 × 30,778,236
  4. Step 4: Simplify right side
    14,046,984x = 947,299,811,271,696
  5. Step 5: Solve for x
    x = 947,299,811,271,696/14,046,984
  6. Step 6: Final answer
    x = 67,437,950.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.