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Finding the Third Proportional to 529,865,196,560 and 1,155,630,416,020

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Solution

The third proportional to 529,865,196,560 and 1,155,630,416,020 is: 2,520,417,772,484.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,865,196,560 : 1,155,630,416,020 = 1,155,630,416,020 : x
  2. Step 2: Convert to fraction form
    529,865,196,560/1,155,630,416,020 = 1,155,630,416,020/x
  3. Step 3: Cross multiply
    529,865,196,560x = 1,155,630,416,020 × 1,155,630,416,020
  4. Step 4: Simplify right side
    529,865,196,560x = 1,335,481,658,430,558,165,794,816
  5. Step 5: Solve for x
    x = 1,335,481,658,430,558,165,794,816/529,865,196,560
  6. Step 6: Final answer
    x = 2,520,417,772,484.01

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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.