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Finding the Third Proportional to 537,634,749 and 844,787,317.50

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Solution

The third proportional to 537,634,749 and 844,787,317.50 is: 1,327,417,197.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,634,749 : 844,787,317.50 = 844,787,317.50 : x
  2. Step 2: Convert to fraction form
    537,634,749/844,787,317.50 = 844,787,317.50/x
  3. Step 3: Cross multiply
    537,634,749x = 844,787,317.50 × 844,787,317.50
  4. Step 4: Simplify right side
    537,634,749x = 713,665,611,808,845,824
  5. Step 5: Solve for x
    x = 713,665,611,808,845,824/537,634,749
  6. Step 6: Final answer
    x = 1,327,417,197.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.