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Finding the Third Proportional to 693,251,423,650 and 1,509,575,429,572

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Solution

The third proportional to 693,251,423,650 and 1,509,575,429,572 is: 3,287,145,038,331.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,251,423,650 : 1,509,575,429,572 = 1,509,575,429,572 : x
  2. Step 2: Convert to fraction form
    693,251,423,650/1,509,575,429,572 = 1,509,575,429,572/x
  3. Step 3: Cross multiply
    693,251,423,650x = 1,509,575,429,572 × 1,509,575,429,572
  4. Step 4: Simplify right side
    693,251,423,650x = 2,278,817,977,567,488,333,840,384
  5. Step 5: Solve for x
    x = 2,278,817,977,567,488,333,840,384/693,251,423,650
  6. Step 6: Final answer
    x = 3,287,145,038,331.71

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Why These Related Problems?

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