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Finding the Third Proportional to 1,154,769,213 and 1,668,442,458.75

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Solution

The third proportional to 1,154,769,213 and 1,668,442,458.75 is: 2,410,611,754.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154,769,213 : 1,668,442,458.75 = 1,668,442,458.75 : x
  2. Step 2: Convert to fraction form
    1,154,769,213/1,668,442,458.75 = 1,668,442,458.75/x
  3. Step 3: Cross multiply
    1,154,769,213x = 1,668,442,458.75 × 1,668,442,458.75
  4. Step 4: Simplify right side
    1,154,769,213x = 2,783,700,238,159,745,536
  5. Step 5: Solve for x
    x = 2,783,700,238,159,745,536/1,154,769,213
  6. Step 6: Final answer
    x = 2,410,611,754.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.