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Finding the Third Proportional to 463,709,653.50 and 1,000,058,596.50

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Solution

The third proportional to 463,709,653.50 and 1,000,058,596.50 is: 2,156,774,587.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,709,653.50 : 1,000,058,596.50 = 1,000,058,596.50 : x
  2. Step 2: Convert to fraction form
    463,709,653.50/1,000,058,596.50 = 1,000,058,596.50/x
  3. Step 3: Cross multiply
    463,709,653.50x = 1,000,058,596.50 × 1,000,058,596.50
  4. Step 4: Simplify right side
    463,709,653.50x = 1,000,117,196,433,549,824
  5. Step 5: Solve for x
    x = 1,000,117,196,433,549,824/463,709,653.50
  6. Step 6: Final answer
    x = 2,156,774,587.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.