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Finding the Third Proportional to 1,754,089,498 and 3,900,365,740

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Solution

The third proportional to 1,754,089,498 and 3,900,365,740 is: 8,672,791,737.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754,089,498 : 3,900,365,740 = 3,900,365,740 : x
  2. Step 2: Convert to fraction form
    1,754,089,498/3,900,365,740 = 3,900,365,740/x
  3. Step 3: Cross multiply
    1,754,089,498x = 3,900,365,740 × 3,900,365,740
  4. Step 4: Simplify right side
    1,754,089,498x = 15,212,852,905,765,746,688
  5. Step 5: Solve for x
    x = 15,212,852,905,765,746,688/1,754,089,498
  6. Step 6: Final answer
    x = 8,672,791,737.89

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.