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Finding the Third Proportional to 35,822,657 and 78,130,231

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Solution

The third proportional to 35,822,657 and 78,130,231 is: 170,404,249.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,822,657 : 78,130,231 = 78,130,231 : x
  2. Step 2: Convert to fraction form
    35,822,657/78,130,231 = 78,130,231/x
  3. Step 3: Cross multiply
    35,822,657x = 78,130,231 × 78,130,231
  4. Step 4: Simplify right side
    35,822,657x = 6,104,332,996,113,361
  5. Step 5: Solve for x
    x = 6,104,332,996,113,361/35,822,657
  6. Step 6: Final answer
    x = 170,404,249.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.