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Finding the Third Proportional to 615,470,672 and 1,299,618,976

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Solution

The third proportional to 615,470,672 and 1,299,618,976 is: 2,744,256,647.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,470,672 : 1,299,618,976 = 1,299,618,976 : x
  2. Step 2: Convert to fraction form
    615,470,672/1,299,618,976 = 1,299,618,976/x
  3. Step 3: Cross multiply
    615,470,672x = 1,299,618,976 × 1,299,618,976
  4. Step 4: Simplify right side
    615,470,672x = 1,689,009,482,779,288,576
  5. Step 5: Solve for x
    x = 1,689,009,482,779,288,576/615,470,672
  6. Step 6: Final answer
    x = 2,744,256,647.18

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.