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Finding the Third Proportional to 517,742,334 and 1,112,327,106

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Solution

The third proportional to 517,742,334 and 1,112,327,106 is: 2,389,743,912.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,742,334 : 1,112,327,106 = 1,112,327,106 : x
  2. Step 2: Convert to fraction form
    517,742,334/1,112,327,106 = 1,112,327,106/x
  3. Step 3: Cross multiply
    517,742,334x = 1,112,327,106 × 1,112,327,106
  4. Step 4: Simplify right side
    517,742,334x = 1,237,271,590,742,335,232
  5. Step 5: Solve for x
    x = 1,237,271,590,742,335,232/517,742,334
  6. Step 6: Final answer
    x = 2,389,743,912.16

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Why These Related Problems?

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