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Finding the Third Proportional to 537,553,875,308.90 and 1,151,782,956,464.90

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Solution

The third proportional to 537,553,875,308.90 and 1,151,782,956,464.90 is: 2,467,853,065,035.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,553,875,308.90 : 1,151,782,956,464.90 = 1,151,782,956,464.90 : x
  2. Step 2: Convert to fraction form
    537,553,875,308.90/1,151,782,956,464.90 = 1,151,782,956,464.90/x
  3. Step 3: Cross multiply
    537,553,875,308.90x = 1,151,782,956,464.90 × 1,151,782,956,464.90
  4. Step 4: Simplify right side
    537,553,875,308.90x = 1,326,603,978,803,025,612,374,016
  5. Step 5: Solve for x
    x = 1,326,603,978,803,025,612,374,016/537,553,875,308.90
  6. Step 6: Final answer
    x = 2,467,853,065,035.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.