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Finding the Third Proportional to 873,938,125 and 1,872,532,379

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Solution

The third proportional to 873,938,125 and 1,872,532,379 is: 4,012,157,623.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,938,125 : 1,872,532,379 = 1,872,532,379 : x
  2. Step 2: Convert to fraction form
    873,938,125/1,872,532,379 = 1,872,532,379/x
  3. Step 3: Cross multiply
    873,938,125x = 1,872,532,379 × 1,872,532,379
  4. Step 4: Simplify right side
    873,938,125x = 3,506,377,510,403,399,680
  5. Step 5: Solve for x
    x = 3,506,377,510,403,399,680/873,938,125
  6. Step 6: Final answer
    x = 4,012,157,623.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.