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Finding the Third Proportional to 2,833,670,064 and 4,444,789,430

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Solution

The third proportional to 2,833,670,064 and 4,444,789,430 is: 6,971,931,322.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833,670,064 : 4,444,789,430 = 4,444,789,430 : x
  2. Step 2: Convert to fraction form
    2,833,670,064/4,444,789,430 = 4,444,789,430/x
  3. Step 3: Cross multiply
    2,833,670,064x = 4,444,789,430 × 4,444,789,430
  4. Step 4: Simplify right side
    2,833,670,064x = 19,756,153,077,039,726,592
  5. Step 5: Solve for x
    x = 19,756,153,077,039,726,592/2,833,670,064
  6. Step 6: Final answer
    x = 6,971,931,322.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.