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Finding the Third Proportional to 560,791,152 and 1,220,330,676

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Solution

The third proportional to 560,791,152 and 1,220,330,676 is: 2,655,546,460.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,791,152 : 1,220,330,676 = 1,220,330,676 : x
  2. Step 2: Convert to fraction form
    560,791,152/1,220,330,676 = 1,220,330,676/x
  3. Step 3: Cross multiply
    560,791,152x = 1,220,330,676 × 1,220,330,676
  4. Step 4: Simplify right side
    560,791,152x = 1,489,206,958,786,617,088
  5. Step 5: Solve for x
    x = 1,489,206,958,786,617,088/560,791,152
  6. Step 6: Final answer
    x = 2,655,546,460.52

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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.