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Finding the Third Proportional to 10,700,702,790 and 16,528,182,633

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Solution

The third proportional to 10,700,702,790 and 16,528,182,633 is: 25,529,241,070.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700,702,790 : 16,528,182,633 = 16,528,182,633 : x
  2. Step 2: Convert to fraction form
    10,700,702,790/16,528,182,633 = 16,528,182,633/x
  3. Step 3: Cross multiply
    10,700,702,790x = 16,528,182,633 × 16,528,182,633
  4. Step 4: Simplify right side
    10,700,702,790x = 273,180,821,149,802,823,680
  5. Step 5: Solve for x
    x = 273,180,821,149,802,823,680/10,700,702,790
  6. Step 6: Final answer
    x = 25,529,241,070.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.