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Finding the Third Proportional to 282,277,701 and 611,461,215

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Solution

The third proportional to 282,277,701 and 611,461,215 is: 1,324,528,349.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,277,701 : 611,461,215 = 611,461,215 : x
  2. Step 2: Convert to fraction form
    282,277,701/611,461,215 = 611,461,215/x
  3. Step 3: Cross multiply
    282,277,701x = 611,461,215 × 611,461,215
  4. Step 4: Simplify right side
    282,277,701x = 373,884,817,449,276,224
  5. Step 5: Solve for x
    x = 373,884,817,449,276,224/282,277,701
  6. Step 6: Final answer
    x = 1,324,528,349.65

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Why These Related Problems?

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