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Finding the Third Proportional to 35,864,656 and 77,825,696

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Solution

The third proportional to 35,864,656 and 77,825,696 is: 168,880,442.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,864,656 : 77,825,696 = 77,825,696 : x
  2. Step 2: Convert to fraction form
    35,864,656/77,825,696 = 77,825,696/x
  3. Step 3: Cross multiply
    35,864,656x = 77,825,696 × 77,825,696
  4. Step 4: Simplify right side
    35,864,656x = 6,056,838,957,884,416
  5. Step 5: Solve for x
    x = 6,056,838,957,884,416/35,864,656
  6. Step 6: Final answer
    x = 168,880,442.01

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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.