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Finding the Third Proportional to 614,784,844.13 and 899,120,058.75

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Solution

The third proportional to 614,784,844.13 and 899,120,058.75 is: 1,314,959,026.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,784,844.13 : 899,120,058.75 = 899,120,058.75 : x
  2. Step 2: Convert to fraction form
    614,784,844.13/899,120,058.75 = 899,120,058.75/x
  3. Step 3: Cross multiply
    614,784,844.13x = 899,120,058.75 × 899,120,058.75
  4. Step 4: Simplify right side
    614,784,844.13x = 808,416,880,046,603,392
  5. Step 5: Solve for x
    x = 808,416,880,046,603,392/614,784,844.13
  6. Step 6: Final answer
    x = 1,314,959,026.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.