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Finding the Third Proportional to 14,523,786 and 31,602,312

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Solution

The third proportional to 14,523,786 and 31,602,312 is: 68,763,483.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,523,786 : 31,602,312 = 31,602,312 : x
  2. Step 2: Convert to fraction form
    14,523,786/31,602,312 = 31,602,312/x
  3. Step 3: Cross multiply
    14,523,786x = 31,602,312 × 31,602,312
  4. Step 4: Simplify right side
    14,523,786x = 998,706,123,745,344
  5. Step 5: Solve for x
    x = 998,706,123,745,344/14,523,786
  6. Step 6: Final answer
    x = 68,763,483.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.