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Finding the Third Proportional to 1,483,109,574 and 2,019,742,090.50

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Solution

The third proportional to 1,483,109,574 and 2,019,742,090.50 is: 2,750,543,981.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483,109,574 : 2,019,742,090.50 = 2,019,742,090.50 : x
  2. Step 2: Convert to fraction form
    1,483,109,574/2,019,742,090.50 = 2,019,742,090.50/x
  3. Step 3: Cross multiply
    1,483,109,574x = 2,019,742,090.50 × 2,019,742,090.50
  4. Step 4: Simplify right side
    1,483,109,574x = 4,079,358,112,137,310,208
  5. Step 5: Solve for x
    x = 4,079,358,112,137,310,208/1,483,109,574
  6. Step 6: Final answer
    x = 2,750,543,981.14

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.