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Finding the Third Proportional to 8,528,636,457 and 18,240,318,502

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Solution

The third proportional to 8,528,636,457 and 18,240,318,502 is: 39,010,833,763.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,528,636,457 : 18,240,318,502 = 18,240,318,502 : x
  2. Step 2: Convert to fraction form
    8,528,636,457/18,240,318,502 = 18,240,318,502/x
  3. Step 3: Cross multiply
    8,528,636,457x = 18,240,318,502 × 18,240,318,502
  4. Step 4: Simplify right side
    8,528,636,457x = 332,709,219,054,403,518,464
  5. Step 5: Solve for x
    x = 332,709,219,054,403,518,464/8,528,636,457
  6. Step 6: Final answer
    x = 39,010,833,763.62

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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.