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Finding the Third Proportional to 73,045,444,492.69 and 157,083,977,204.71

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Solution

The third proportional to 73,045,444,492.69 and 157,083,977,204.71 is: 337,808,552,823.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,045,444,492.69 : 157,083,977,204.71 = 157,083,977,204.71 : x
  2. Step 2: Convert to fraction form
    73,045,444,492.69/157,083,977,204.71 = 157,083,977,204.71/x
  3. Step 3: Cross multiply
    73,045,444,492.69x = 157,083,977,204.71 × 157,083,977,204.71
  4. Step 4: Simplify right side
    73,045,444,492.69x = 24,675,375,894,449,849,630,720
  5. Step 5: Solve for x
    x = 24,675,375,894,449,849,630,720/73,045,444,492.69
  6. Step 6: Final answer
    x = 337,808,552,823.85

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.