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Finding the Third Proportional to 21,387,746 and 46,184,563

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Solution

The third proportional to 21,387,746 and 46,184,563 is: 99,730,652.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,387,746 : 46,184,563 = 46,184,563 : x
  2. Step 2: Convert to fraction form
    21,387,746/46,184,563 = 46,184,563/x
  3. Step 3: Cross multiply
    21,387,746x = 46,184,563 × 46,184,563
  4. Step 4: Simplify right side
    21,387,746x = 2,133,013,859,500,969
  5. Step 5: Solve for x
    x = 2,133,013,859,500,969/21,387,746
  6. Step 6: Final answer
    x = 99,730,652.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.