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Finding the Third Proportional to 184,553,452 and 435,655,784

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Solution

The third proportional to 184,553,452 and 435,655,784 is: 1,028,406,459.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,553,452 : 435,655,784 = 435,655,784 : x
  2. Step 2: Convert to fraction form
    184,553,452/435,655,784 = 435,655,784/x
  3. Step 3: Cross multiply
    184,553,452x = 435,655,784 × 435,655,784
  4. Step 4: Simplify right side
    184,553,452x = 189,795,962,132,654,656
  5. Step 5: Solve for x
    x = 189,795,962,132,654,656/184,553,452
  6. Step 6: Final answer
    x = 1,028,406,459.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.