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Finding the Third Proportional to 46,181,409 and 99,684,894

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Solution

The third proportional to 46,181,409 and 99,684,894 is: 215,174,857.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,181,409 : 99,684,894 = 99,684,894 : x
  2. Step 2: Convert to fraction form
    46,181,409/99,684,894 = 99,684,894/x
  3. Step 3: Cross multiply
    46,181,409x = 99,684,894 × 99,684,894
  4. Step 4: Simplify right side
    46,181,409x = 9,937,078,091,791,236
  5. Step 5: Solve for x
    x = 9,937,078,091,791,236/46,181,409
  6. Step 6: Final answer
    x = 215,174,857.31

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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.