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Finding the Third Proportional to 693,251,423,666 and 1,509,575,429,604

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Solution

The third proportional to 693,251,423,666 and 1,509,575,429,604 is: 3,287,145,038,395.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,251,423,666 : 1,509,575,429,604 = 1,509,575,429,604 : x
  2. Step 2: Convert to fraction form
    693,251,423,666/1,509,575,429,604 = 1,509,575,429,604/x
  3. Step 3: Cross multiply
    693,251,423,666x = 1,509,575,429,604 × 1,509,575,429,604
  4. Step 4: Simplify right side
    693,251,423,666x = 2,278,817,977,664,101,207,244,800
  5. Step 5: Solve for x
    x = 2,278,817,977,664,101,207,244,800/693,251,423,666
  6. Step 6: Final answer
    x = 3,287,145,038,395.20

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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.