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Finding the Third Proportional to 4,359,125,796,666 and 9,340,021,361,511

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Solution

The third proportional to 4,359,125,796,666 and 9,340,021,361,511 is: 20,012,269,226,137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,359,125,796,666 : 9,340,021,361,511 = 9,340,021,361,511 : x
  2. Step 2: Convert to fraction form
    4,359,125,796,666/9,340,021,361,511 = 9,340,021,361,511/x
  3. Step 3: Cross multiply
    4,359,125,796,666x = 9,340,021,361,511 × 9,340,021,361,511
  4. Step 4: Simplify right side
    4,359,125,796,666x = 87,235,999,033,481,798,547,931,136
  5. Step 5: Solve for x
    x = 87,235,999,033,481,798,547,931,136/4,359,125,796,666
  6. Step 6: Final answer
    x = 20,012,269,226,137.66

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Why These Related Problems?

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