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Finding the Third Proportional to 32,696,778 and 77,075,427

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Solution

The third proportional to 32,696,778 and 77,075,427 is: 181,688,282.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,696,778 : 77,075,427 = 77,075,427 : x
  2. Step 2: Convert to fraction form
    32,696,778/77,075,427 = 77,075,427/x
  3. Step 3: Cross multiply
    32,696,778x = 77,075,427 × 77,075,427
  4. Step 4: Simplify right side
    32,696,778x = 5,940,621,447,232,329
  5. Step 5: Solve for x
    x = 5,940,621,447,232,329/32,696,778
  6. Step 6: Final answer
    x = 181,688,282.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.