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Finding the Third Proportional to 219,209,587 and 477,008,895

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Solution

The third proportional to 219,209,587 and 477,008,895 is: 1,037,990,577.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,209,587 : 477,008,895 = 477,008,895 : x
  2. Step 2: Convert to fraction form
    219,209,587/477,008,895 = 477,008,895/x
  3. Step 3: Cross multiply
    219,209,587x = 477,008,895 × 477,008,895
  4. Step 4: Simplify right side
    219,209,587x = 227,537,485,909,121,024
  5. Step 5: Solve for x
    x = 227,537,485,909,121,024/219,209,587
  6. Step 6: Final answer
    x = 1,037,990,577.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.