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Finding the Third Proportional to 959,326,537,635 and 2,133,144,796,707

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Solution

The third proportional to 959,326,537,635 and 2,133,144,796,707 is: 4,743,230,323,780.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,326,537,635 : 2,133,144,796,707 = 2,133,144,796,707 : x
  2. Step 2: Convert to fraction form
    959,326,537,635/2,133,144,796,707 = 2,133,144,796,707/x
  3. Step 3: Cross multiply
    959,326,537,635x = 2,133,144,796,707 × 2,133,144,796,707
  4. Step 4: Simplify right side
    959,326,537,635x = 4,550,306,723,718,148,564,975,616
  5. Step 5: Solve for x
    x = 4,550,306,723,718,148,564,975,616/959,326,537,635
  6. Step 6: Final answer
    x = 4,743,230,323,780.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.