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Finding the Third Proportional to 1,237,847,924 and 1,851,864,051

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Solution

The third proportional to 1,237,847,924 and 1,851,864,051 is: 2,770,453,782.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237,847,924 : 1,851,864,051 = 1,851,864,051 : x
  2. Step 2: Convert to fraction form
    1,237,847,924/1,851,864,051 = 1,851,864,051/x
  3. Step 3: Cross multiply
    1,237,847,924x = 1,851,864,051 × 1,851,864,051
  4. Step 4: Simplify right side
    1,237,847,924x = 3,429,400,463,386,130,432
  5. Step 5: Solve for x
    x = 3,429,400,463,386,130,432/1,237,847,924
  6. Step 6: Final answer
    x = 2,770,453,782.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.