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Finding the Third Proportional to 2,355,661,017 and 3,488,008,465.50

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Solution

The third proportional to 2,355,661,017 and 3,488,008,465.50 is: 5,164,666,294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355,661,017 : 3,488,008,465.50 = 3,488,008,465.50 : x
  2. Step 2: Convert to fraction form
    2,355,661,017/3,488,008,465.50 = 3,488,008,465.50/x
  3. Step 3: Cross multiply
    2,355,661,017x = 3,488,008,465.50 × 3,488,008,465.50
  4. Step 4: Simplify right side
    2,355,661,017x = 12,166,203,055,399,665,664
  5. Step 5: Solve for x
    x = 12,166,203,055,399,665,664/2,355,661,017
  6. Step 6: Final answer
    x = 5,164,666,294.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.