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Finding the Third Proportional to 1,821,708,994 and 2,798,854,531

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Solution

The third proportional to 1,821,708,994 and 2,798,854,531 is: 4,300,130,652.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821,708,994 : 2,798,854,531 = 2,798,854,531 : x
  2. Step 2: Convert to fraction form
    1,821,708,994/2,798,854,531 = 2,798,854,531/x
  3. Step 3: Cross multiply
    1,821,708,994x = 2,798,854,531 × 2,798,854,531
  4. Step 4: Simplify right side
    1,821,708,994x = 7,833,586,685,699,229,696
  5. Step 5: Solve for x
    x = 7,833,586,685,699,229,696/1,821,708,994
  6. Step 6: Final answer
    x = 4,300,130,652.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.