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Finding the Third Proportional to 35,006,186,284 and 75,321,707,118

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Solution

The third proportional to 35,006,186,284 and 75,321,707,118 is: 162,067,341,959.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,006,186,284 : 75,321,707,118 = 75,321,707,118 : x
  2. Step 2: Convert to fraction form
    35,006,186,284/75,321,707,118 = 75,321,707,118/x
  3. Step 3: Cross multiply
    35,006,186,284x = 75,321,707,118 × 75,321,707,118
  4. Step 4: Simplify right side
    35,006,186,284x = 5,673,359,563,169,771,552,768
  5. Step 5: Solve for x
    x = 5,673,359,563,169,771,552,768/35,006,186,284
  6. Step 6: Final answer
    x = 162,067,341,959.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.