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Finding the Third Proportional to 35,077,328,073 and 81,849,927,370.50

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Solution

The third proportional to 35,077,328,073 and 81,849,927,370.50 is: 190,989,764,004.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,077,328,073 : 81,849,927,370.50 = 81,849,927,370.50 : x
  2. Step 2: Convert to fraction form
    35,077,328,073/81,849,927,370.50 = 81,849,927,370.50/x
  3. Step 3: Cross multiply
    35,077,328,073x = 81,849,927,370.50 × 81,849,927,370.50
  4. Step 4: Simplify right side
    35,077,328,073x = 6,699,410,610,556,124,528,640
  5. Step 5: Solve for x
    x = 6,699,410,610,556,124,528,640/35,077,328,073
  6. Step 6: Final answer
    x = 190,989,764,004.09

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.