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Finding the Third Proportional to 65,046,370 and 141,429,716

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Solution

The third proportional to 65,046,370 and 141,429,716 is: 307,509,313.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,046,370 : 141,429,716 = 141,429,716 : x
  2. Step 2: Convert to fraction form
    65,046,370/141,429,716 = 141,429,716/x
  3. Step 3: Cross multiply
    65,046,370x = 141,429,716 × 141,429,716
  4. Step 4: Simplify right side
    65,046,370x = 20,002,364,567,840,656
  5. Step 5: Solve for x
    x = 20,002,364,567,840,656/65,046,370
  6. Step 6: Final answer
    x = 307,509,313.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.