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Finding the Third Proportional to 12,821,223,068 and 27,849,547,511

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Solution

The third proportional to 12,821,223,068 and 27,849,547,511 is: 60,493,237,848.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,821,223,068 : 27,849,547,511 = 27,849,547,511 : x
  2. Step 2: Convert to fraction form
    12,821,223,068/27,849,547,511 = 27,849,547,511/x
  3. Step 3: Cross multiply
    12,821,223,068x = 27,849,547,511 × 27,849,547,511
  4. Step 4: Simplify right side
    12,821,223,068x = 775,597,296,567,446,274,048
  5. Step 5: Solve for x
    x = 775,597,296,567,446,274,048/12,821,223,068
  6. Step 6: Final answer
    x = 60,493,237,848.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.