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Finding the Third Proportional to 1,038,749,012 and 1,552,938,819

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Solution

The third proportional to 1,038,749,012 and 1,552,938,819 is: 2,321,657,058.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038,749,012 : 1,552,938,819 = 1,552,938,819 : x
  2. Step 2: Convert to fraction form
    1,038,749,012/1,552,938,819 = 1,552,938,819/x
  3. Step 3: Cross multiply
    1,038,749,012x = 1,552,938,819 × 1,552,938,819
  4. Step 4: Simplify right side
    1,038,749,012x = 2,411,618,975,557,114,880
  5. Step 5: Solve for x
    x = 2,411,618,975,557,114,880/1,038,749,012
  6. Step 6: Final answer
    x = 2,321,657,058.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.