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Finding the Third Proportional to 1,452,714,021 and 2,038,445,655.75

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Solution

The third proportional to 1,452,714,021 and 2,038,445,655.75 is: 2,860,343,213.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452,714,021 : 2,038,445,655.75 = 2,038,445,655.75 : x
  2. Step 2: Convert to fraction form
    1,452,714,021/2,038,445,655.75 = 2,038,445,655.75/x
  3. Step 3: Cross multiply
    1,452,714,021x = 2,038,445,655.75 × 2,038,445,655.75
  4. Step 4: Simplify right side
    1,452,714,021x = 4,155,260,691,446,047,744
  5. Step 5: Solve for x
    x = 4,155,260,691,446,047,744/1,452,714,021
  6. Step 6: Final answer
    x = 2,860,343,213.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.