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Finding the Third Proportional to 1,225,482,371,024 and 2,681,818,757,714

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Solution

The third proportional to 1,225,482,371,024 and 2,681,818,757,714 is: 5,868,833,382,904.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225,482,371,024 : 2,681,818,757,714 = 2,681,818,757,714 : x
  2. Step 2: Convert to fraction form
    1,225,482,371,024/2,681,818,757,714 = 2,681,818,757,714/x
  3. Step 3: Cross multiply
    1,225,482,371,024x = 2,681,818,757,714 × 2,681,818,757,714
  4. Step 4: Simplify right side
    1,225,482,371,024x = 7,192,151,849,226,662,313,984,000
  5. Step 5: Solve for x
    x = 7,192,151,849,226,662,313,984,000/1,225,482,371,024
  6. Step 6: Final answer
    x = 5,868,833,382,904.54

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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.