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Finding the Third Proportional to 2,048,830,607 and 4,408,404,106

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Solution

The third proportional to 2,048,830,607 and 4,408,404,106 is: 9,485,423,878.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048,830,607 : 4,408,404,106 = 4,408,404,106 : x
  2. Step 2: Convert to fraction form
    2,048,830,607/4,408,404,106 = 4,408,404,106/x
  3. Step 3: Cross multiply
    2,048,830,607x = 4,408,404,106 × 4,408,404,106
  4. Step 4: Simplify right side
    2,048,830,607x = 19,434,026,761,797,660,672
  5. Step 5: Solve for x
    x = 19,434,026,761,797,660,672/2,048,830,607
  6. Step 6: Final answer
    x = 9,485,423,878.09

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.