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Finding the Third Proportional to 1,042,668,060.19 and 1,573,698,511.69

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Solution

The third proportional to 1,042,668,060.19 and 1,573,698,511.69 is: 2,375,182,572.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042,668,060.19 : 1,573,698,511.69 = 1,573,698,511.69 : x
  2. Step 2: Convert to fraction form
    1,042,668,060.19/1,573,698,511.69 = 1,573,698,511.69/x
  3. Step 3: Cross multiply
    1,042,668,060.19x = 1,573,698,511.69 × 1,573,698,511.69
  4. Step 4: Simplify right side
    1,042,668,060.19x = 2,476,527,005,687,452,672
  5. Step 5: Solve for x
    x = 2,476,527,005,687,452,672/1,042,668,060.19
  6. Step 6: Final answer
    x = 2,375,182,572.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.