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Finding the Third Proportional to 1,849,725,258 and 2,672,533,555

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Solution

The third proportional to 1,849,725,258 and 2,672,533,555 is: 3,861,349,447.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849,725,258 : 2,672,533,555 = 2,672,533,555 : x
  2. Step 2: Convert to fraction form
    1,849,725,258/2,672,533,555 = 2,672,533,555/x
  3. Step 3: Cross multiply
    1,849,725,258x = 2,672,533,555 × 2,672,533,555
  4. Step 4: Simplify right side
    1,849,725,258x = 7,142,435,602,600,938,496
  5. Step 5: Solve for x
    x = 7,142,435,602,600,938,496/1,849,725,258
  6. Step 6: Final answer
    x = 3,861,349,447.28

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.