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Finding the Third Proportional to 283,621,054 and 616,935,104

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Solution

The third proportional to 283,621,054 and 616,935,104 is: 1,341,962,866.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,621,054 : 616,935,104 = 616,935,104 : x
  2. Step 2: Convert to fraction form
    283,621,054/616,935,104 = 616,935,104/x
  3. Step 3: Cross multiply
    283,621,054x = 616,935,104 × 616,935,104
  4. Step 4: Simplify right side
    283,621,054x = 380,608,922,547,490,816
  5. Step 5: Solve for x
    x = 380,608,922,547,490,816/283,621,054
  6. Step 6: Final answer
    x = 1,341,962,866.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.