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Finding the Third Proportional to 35,585,196 and 77,696,400

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Solution

The third proportional to 35,585,196 and 77,696,400 is: 169,641,627.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,585,196 : 77,696,400 = 77,696,400 : x
  2. Step 2: Convert to fraction form
    35,585,196/77,696,400 = 77,696,400/x
  3. Step 3: Cross multiply
    35,585,196x = 77,696,400 × 77,696,400
  4. Step 4: Simplify right side
    35,585,196x = 6,036,730,572,960,000
  5. Step 5: Solve for x
    x = 6,036,730,572,960,000/35,585,196
  6. Step 6: Final answer
    x = 169,641,627.74

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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.