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Finding the Third Proportional to 19,270,980,016 and 29,460,355,964

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Solution

The third proportional to 19,270,980,016 and 29,460,355,964 is: 45,037,282,629.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,270,980,016 : 29,460,355,964 = 29,460,355,964 : x
  2. Step 2: Convert to fraction form
    19,270,980,016/29,460,355,964 = 29,460,355,964/x
  3. Step 3: Cross multiply
    19,270,980,016x = 29,460,355,964 × 29,460,355,964
  4. Step 4: Simplify right side
    19,270,980,016x = 867,912,573,525,590,409,216
  5. Step 5: Solve for x
    x = 867,912,573,525,590,409,216/19,270,980,016
  6. Step 6: Final answer
    x = 45,037,282,629.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.