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Finding the Third Proportional to 32,696,777 and 77,075,424

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Solution

The third proportional to 32,696,777 and 77,075,424 is: 181,688,274.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,696,777 : 77,075,424 = 77,075,424 : x
  2. Step 2: Convert to fraction form
    32,696,777/77,075,424 = 77,075,424/x
  3. Step 3: Cross multiply
    32,696,777x = 77,075,424 × 77,075,424
  4. Step 4: Simplify right side
    32,696,777x = 5,940,620,984,779,776
  5. Step 5: Solve for x
    x = 5,940,620,984,779,776/32,696,777
  6. Step 6: Final answer
    x = 181,688,274.19

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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.