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Finding the Third Proportional to 1,197,621,243 and 2,621,012,184

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Solution

The third proportional to 1,197,621,243 and 2,621,012,184 is: 5,736,124,763.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,621,243 : 2,621,012,184 = 2,621,012,184 : x
  2. Step 2: Convert to fraction form
    1,197,621,243/2,621,012,184 = 2,621,012,184/x
  3. Step 3: Cross multiply
    1,197,621,243x = 2,621,012,184 × 2,621,012,184
  4. Step 4: Simplify right side
    1,197,621,243x = 6,869,704,868,676,450,304
  5. Step 5: Solve for x
    x = 6,869,704,868,676,450,304/1,197,621,243
  6. Step 6: Final answer
    x = 5,736,124,763.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.