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Finding the Third Proportional to 2,284,886,804.50 and 4,975,408,355

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Solution

The third proportional to 2,284,886,804.50 and 4,975,408,355 is: 10,834,098,323.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284,886,804.50 : 4,975,408,355 = 4,975,408,355 : x
  2. Step 2: Convert to fraction form
    2,284,886,804.50/4,975,408,355 = 4,975,408,355/x
  3. Step 3: Cross multiply
    2,284,886,804.50x = 4,975,408,355 × 4,975,408,355
  4. Step 4: Simplify right side
    2,284,886,804.50x = 24,754,688,299,003,805,696
  5. Step 5: Solve for x
    x = 24,754,688,299,003,805,696/2,284,886,804.50
  6. Step 6: Final answer
    x = 10,834,098,323.93

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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.