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Finding the Third Proportional to 1,837,689,128 and 4,032,453,312

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Solution

The third proportional to 1,837,689,128 and 4,032,453,312 is: 8,848,438,762.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837,689,128 : 4,032,453,312 = 4,032,453,312 : x
  2. Step 2: Convert to fraction form
    1,837,689,128/4,032,453,312 = 4,032,453,312/x
  3. Step 3: Cross multiply
    1,837,689,128x = 4,032,453,312 × 4,032,453,312
  4. Step 4: Simplify right side
    1,837,689,128x = 16,260,679,713,459,769,344
  5. Step 5: Solve for x
    x = 16,260,679,713,459,769,344/1,837,689,128
  6. Step 6: Final answer
    x = 8,848,438,762.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.