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Finding the Third Proportional to 9,545,617,114 and 19,363,415,670

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Solution

The third proportional to 9,545,617,114 and 19,363,415,670 is: 39,278,955,140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545,617,114 : 19,363,415,670 = 19,363,415,670 : x
  2. Step 2: Convert to fraction form
    9,545,617,114/19,363,415,670 = 19,363,415,670/x
  3. Step 3: Cross multiply
    9,545,617,114x = 19,363,415,670 × 19,363,415,670
  4. Step 4: Simplify right side
    9,545,617,114x = 374,941,866,409,201,565,696
  5. Step 5: Solve for x
    x = 374,941,866,409,201,565,696/9,545,617,114
  6. Step 6: Final answer
    x = 39,278,955,140.50

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.