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Finding the Third Proportional to 316,344,977,849 and 693,126,841,548.50

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Solution

The third proportional to 316,344,977,849 and 693,126,841,548.50 is: 1,518,673,764,766.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,344,977,849 : 693,126,841,548.50 = 693,126,841,548.50 : x
  2. Step 2: Convert to fraction form
    316,344,977,849/693,126,841,548.50 = 693,126,841,548.50/x
  3. Step 3: Cross multiply
    316,344,977,849x = 693,126,841,548.50 × 693,126,841,548.50
  4. Step 4: Simplify right side
    316,344,977,849x = 480,424,818,474,999,426,842,624
  5. Step 5: Solve for x
    x = 480,424,818,474,999,426,842,624/316,344,977,849
  6. Step 6: Final answer
    x = 1,518,673,764,766.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.