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Finding the Third Proportional to 5,742,832,122 and 12,465,779,229

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Solution

The third proportional to 5,742,832,122 and 12,465,779,229 is: 27,059,062,233.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742,832,122 : 12,465,779,229 = 12,465,779,229 : x
  2. Step 2: Convert to fraction form
    5,742,832,122/12,465,779,229 = 12,465,779,229/x
  3. Step 3: Cross multiply
    5,742,832,122x = 12,465,779,229 × 12,465,779,229
  4. Step 4: Simplify right side
    5,742,832,122x = 155,395,651,786,167,844,864
  5. Step 5: Solve for x
    x = 155,395,651,786,167,844,864/5,742,832,122
  6. Step 6: Final answer
    x = 27,059,062,233.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.