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Finding the Third Proportional to 1,452,714,023 and 2,038,445,659

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Solution

The third proportional to 1,452,714,023 and 2,038,445,659 is: 2,860,343,218.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452,714,023 : 2,038,445,659 = 2,038,445,659 : x
  2. Step 2: Convert to fraction form
    1,452,714,023/2,038,445,659 = 2,038,445,659/x
  3. Step 3: Cross multiply
    1,452,714,023x = 2,038,445,659 × 2,038,445,659
  4. Step 4: Simplify right side
    1,452,714,023x = 4,155,260,704,695,944,192
  5. Step 5: Solve for x
    x = 4,155,260,704,695,944,192/1,452,714,023
  6. Step 6: Final answer
    x = 2,860,343,218.90

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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.