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Finding the Third Proportional to 4,782,831,535 and 6,732,345,804

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Solution

The third proportional to 4,782,831,535 and 6,732,345,804 is: 9,476,495,187.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782,831,535 : 6,732,345,804 = 6,732,345,804 : x
  2. Step 2: Convert to fraction form
    4,782,831,535/6,732,345,804 = 6,732,345,804/x
  3. Step 3: Cross multiply
    4,782,831,535x = 6,732,345,804 × 6,732,345,804
  4. Step 4: Simplify right side
    4,782,831,535x = 45,324,480,024,636,407,808
  5. Step 5: Solve for x
    x = 45,324,480,024,636,407,808/4,782,831,535
  6. Step 6: Final answer
    x = 9,476,495,187.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.