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Finding the Third Proportional to 556,436,208,838.50 and 1,205,269,303,653

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Solution

The third proportional to 556,436,208,838.50 and 1,205,269,303,653 is: 2,610,674,990,688.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,436,208,838.50 : 1,205,269,303,653 = 1,205,269,303,653 : x
  2. Step 2: Convert to fraction form
    556,436,208,838.50/1,205,269,303,653 = 1,205,269,303,653/x
  3. Step 3: Cross multiply
    556,436,208,838.50x = 1,205,269,303,653 × 1,205,269,303,653
  4. Step 4: Simplify right side
    556,436,208,838.50x = 1,452,674,094,328,187,415,691,264
  5. Step 5: Solve for x
    x = 1,452,674,094,328,187,415,691,264/556,436,208,838.50
  6. Step 6: Final answer
    x = 2,610,674,990,688.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.