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Finding the Third Proportional to 5,209,742,674.88 and 7,029,166,028.06

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Solution

The third proportional to 5,209,742,674.88 and 7,029,166,028.06 is: 9,483,995,301.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209,742,674.88 : 7,029,166,028.06 = 7,029,166,028.06 : x
  2. Step 2: Convert to fraction form
    5,209,742,674.88/7,029,166,028.06 = 7,029,166,028.06/x
  3. Step 3: Cross multiply
    5,209,742,674.88x = 7,029,166,028.06 × 7,029,166,028.06
  4. Step 4: Simplify right side
    5,209,742,674.88x = 49,409,175,050,067,943,424
  5. Step 5: Solve for x
    x = 49,409,175,050,067,943,424/5,209,742,674.88
  6. Step 6: Final answer
    x = 9,483,995,301.41

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.