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Finding the Third Proportional to 2,006,455,851 and 4,195,860,273

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Solution

The third proportional to 2,006,455,851 and 4,195,860,273 is: 8,774,298,932.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006,455,851 : 4,195,860,273 = 4,195,860,273 : x
  2. Step 2: Convert to fraction form
    2,006,455,851/4,195,860,273 = 4,195,860,273/x
  3. Step 3: Cross multiply
    2,006,455,851x = 4,195,860,273 × 4,195,860,273
  4. Step 4: Simplify right side
    2,006,455,851x = 17,605,243,430,539,634,688
  5. Step 5: Solve for x
    x = 17,605,243,430,539,634,688/2,006,455,851
  6. Step 6: Final answer
    x = 8,774,298,932.00

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.