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Finding the Third Proportional to 7,030,146 and 14,620,042.50

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Solution

The third proportional to 7,030,146 and 14,620,042.50 is: 30,404,154.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,030,146 : 14,620,042.50 = 14,620,042.50 : x
  2. Step 2: Convert to fraction form
    7,030,146/14,620,042.50 = 14,620,042.50/x
  3. Step 3: Cross multiply
    7,030,146x = 14,620,042.50 × 14,620,042.50
  4. Step 4: Simplify right side
    7,030,146x = 213,745,642,701,806.25
  5. Step 5: Solve for x
    x = 213,745,642,701,806.25/7,030,146
  6. Step 6: Final answer
    x = 30,404,154.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.