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Finding the Third Proportional to 898,242,835 and 1,965,815,238

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Solution

The third proportional to 898,242,835 and 1,965,815,238 is: 4,302,210,270.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,242,835 : 1,965,815,238 = 1,965,815,238 : x
  2. Step 2: Convert to fraction form
    898,242,835/1,965,815,238 = 1,965,815,238/x
  3. Step 3: Cross multiply
    898,242,835x = 1,965,815,238 × 1,965,815,238
  4. Step 4: Simplify right side
    898,242,835x = 3,864,429,549,952,996,864
  5. Step 5: Solve for x
    x = 3,864,429,549,952,996,864/898,242,835
  6. Step 6: Final answer
    x = 4,302,210,270.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.