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Finding the Third Proportional to 254,306,889 and 549,268,642

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Solution

The third proportional to 254,306,889 and 549,268,642 is: 1,186,346,316.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,306,889 : 549,268,642 = 549,268,642 : x
  2. Step 2: Convert to fraction form
    254,306,889/549,268,642 = 549,268,642/x
  3. Step 3: Cross multiply
    254,306,889x = 549,268,642 × 549,268,642
  4. Step 4: Simplify right side
    254,306,889x = 301,696,041,084,524,160
  5. Step 5: Solve for x
    x = 301,696,041,084,524,160/254,306,889
  6. Step 6: Final answer
    x = 1,186,346,316.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.