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Finding the Third Proportional to 2,291,970,825 and 4,910,678,154

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Solution

The third proportional to 2,291,970,825 and 4,910,678,154 is: 10,521,407,894.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291,970,825 : 4,910,678,154 = 4,910,678,154 : x
  2. Step 2: Convert to fraction form
    2,291,970,825/4,910,678,154 = 4,910,678,154/x
  3. Step 3: Cross multiply
    2,291,970,825x = 4,910,678,154 × 4,910,678,154
  4. Step 4: Simplify right side
    2,291,970,825x = 24,114,759,932,172,849,152
  5. Step 5: Solve for x
    x = 24,114,759,932,172,849,152/2,291,970,825
  6. Step 6: Final answer
    x = 10,521,407,894.52

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