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Finding the Third Proportional to 4,537,903,182 and 9,870,894,588

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Solution

The third proportional to 4,537,903,182 and 9,870,894,588 is: 21,471,273,418.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537,903,182 : 9,870,894,588 = 9,870,894,588 : x
  2. Step 2: Convert to fraction form
    4,537,903,182/9,870,894,588 = 9,870,894,588/x
  3. Step 3: Cross multiply
    4,537,903,182x = 9,870,894,588 × 9,870,894,588
  4. Step 4: Simplify right side
    4,537,903,182x = 97,434,559,967,407,685,632
  5. Step 5: Solve for x
    x = 97,434,559,967,407,685,632/4,537,903,182
  6. Step 6: Final answer
    x = 21,471,273,418.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.