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Finding the Third Proportional to 1,077,210,338 and 2,355,974,212

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Solution

The third proportional to 1,077,210,338 and 2,355,974,212 is: 5,152,767,562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,210,338 : 2,355,974,212 = 2,355,974,212 : x
  2. Step 2: Convert to fraction form
    1,077,210,338/2,355,974,212 = 2,355,974,212/x
  3. Step 3: Cross multiply
    1,077,210,338x = 2,355,974,212 × 2,355,974,212
  4. Step 4: Simplify right side
    1,077,210,338x = 5,550,614,487,609,021,440
  5. Step 5: Solve for x
    x = 5,550,614,487,609,021,440/1,077,210,338
  6. Step 6: Final answer
    x = 5,152,767,562.47

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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.