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Finding the Third Proportional to 529,865,196,558 and 1,155,630,416,016

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Solution

The third proportional to 529,865,196,558 and 1,155,630,416,016 is: 2,520,417,772,476.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,865,196,558 : 1,155,630,416,016 = 1,155,630,416,016 : x
  2. Step 2: Convert to fraction form
    529,865,196,558/1,155,630,416,016 = 1,155,630,416,016/x
  3. Step 3: Cross multiply
    529,865,196,558x = 1,155,630,416,016 × 1,155,630,416,016
  4. Step 4: Simplify right side
    529,865,196,558x = 1,335,481,658,421,313,248,690,176
  5. Step 5: Solve for x
    x = 1,335,481,658,421,313,248,690,176/529,865,196,558
  6. Step 6: Final answer
    x = 2,520,417,772,476.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.