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Finding the Third Proportional to 35,077,329,774 and 81,849,931,236

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Solution

The third proportional to 35,077,329,774 and 81,849,931,236 is: 190,989,772,782.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,077,329,774 : 81,849,931,236 = 81,849,931,236 : x
  2. Step 2: Convert to fraction form
    35,077,329,774/81,849,931,236 = 81,849,931,236/x
  3. Step 3: Cross multiply
    35,077,329,774x = 81,849,931,236 × 81,849,931,236
  4. Step 4: Simplify right side
    35,077,329,774x = 6,699,411,243,337,928,146,944
  5. Step 5: Solve for x
    x = 6,699,411,243,337,928,146,944/35,077,329,774
  6. Step 6: Final answer
    x = 190,989,772,782.07

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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.