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Finding the Third Proportional to 659,916,477 and 1,433,335,068

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Solution

The third proportional to 659,916,477 and 1,433,335,068 is: 3,113,196,122.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,916,477 : 1,433,335,068 = 1,433,335,068 : x
  2. Step 2: Convert to fraction form
    659,916,477/1,433,335,068 = 1,433,335,068/x
  3. Step 3: Cross multiply
    659,916,477x = 1,433,335,068 × 1,433,335,068
  4. Step 4: Simplify right side
    659,916,477x = 2,054,449,417,158,564,608
  5. Step 5: Solve for x
    x = 2,054,449,417,158,564,608/659,916,477
  6. Step 6: Final answer
    x = 3,113,196,122.18

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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.