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Finding the Third Proportional to 1,386,921,072 and 1,901,805,756

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Solution

The third proportional to 1,386,921,072 and 1,901,805,756 is: 2,607,837,754.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386,921,072 : 1,901,805,756 = 1,901,805,756 : x
  2. Step 2: Convert to fraction form
    1,386,921,072/1,901,805,756 = 1,901,805,756/x
  3. Step 3: Cross multiply
    1,386,921,072x = 1,901,805,756 × 1,901,805,756
  4. Step 4: Simplify right side
    1,386,921,072x = 3,616,865,133,554,731,520
  5. Step 5: Solve for x
    x = 3,616,865,133,554,731,520/1,386,921,072
  6. Step 6: Final answer
    x = 2,607,837,754.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.