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Finding the Third Proportional to 283,596,648 and 615,594,036

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Solution

The third proportional to 283,596,648 and 615,594,036 is: 1,336,249,986.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,596,648 : 615,594,036 = 615,594,036 : x
  2. Step 2: Convert to fraction form
    283,596,648/615,594,036 = 615,594,036/x
  3. Step 3: Cross multiply
    283,596,648x = 615,594,036 × 615,594,036
  4. Step 4: Simplify right side
    283,596,648x = 378,956,017,158,769,280
  5. Step 5: Solve for x
    x = 378,956,017,158,769,280/283,596,648
  6. Step 6: Final answer
    x = 1,336,249,986.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.