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Finding the Third Proportional to 23,857,730,127 and 35,579,703,735

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Solution

The third proportional to 23,857,730,127 and 35,579,703,735 is: 53,061,012,557.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,857,730,127 : 35,579,703,735 = 35,579,703,735 : x
  2. Step 2: Convert to fraction form
    23,857,730,127/35,579,703,735 = 35,579,703,735/x
  3. Step 3: Cross multiply
    23,857,730,127x = 35,579,703,735 × 35,579,703,735
  4. Step 4: Simplify right side
    23,857,730,127x = 1,265,915,317,870,372,847,616
  5. Step 5: Solve for x
    x = 1,265,915,317,870,372,847,616/23,857,730,127
  6. Step 6: Final answer
    x = 53,061,012,557.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.