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Finding the Third Proportional to 1,869,158,340 and 3,988,497,816

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Solution

The third proportional to 1,869,158,340 and 3,988,497,816 is: 8,510,843,885.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869,158,340 : 3,988,497,816 = 3,988,497,816 : x
  2. Step 2: Convert to fraction form
    1,869,158,340/3,988,497,816 = 3,988,497,816/x
  3. Step 3: Cross multiply
    1,869,158,340x = 3,988,497,816 × 3,988,497,816
  4. Step 4: Simplify right side
    1,869,158,340x = 15,908,114,828,236,769,280
  5. Step 5: Solve for x
    x = 15,908,114,828,236,769,280/1,869,158,340
  6. Step 6: Final answer
    x = 8,510,843,885.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.