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Finding the Third Proportional to 344,075,991,564 and 539,753,701,732

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Solution

The third proportional to 344,075,991,564 and 539,753,701,732 is: 846,714,288,925.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,075,991,564 : 539,753,701,732 = 539,753,701,732 : x
  2. Step 2: Convert to fraction form
    344,075,991,564/539,753,701,732 = 539,753,701,732/x
  3. Step 3: Cross multiply
    344,075,991,564x = 539,753,701,732 × 539,753,701,732
  4. Step 4: Simplify right side
    344,075,991,564x = 291,334,058,533,396,831,797,248
  5. Step 5: Solve for x
    x = 291,334,058,533,396,831,797,248/344,075,991,564
  6. Step 6: Final answer
    x = 846,714,288,925.35

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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.