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Finding the Third Proportional to 478,007,102.50 and 1,028,655,537

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Solution

The third proportional to 478,007,102.50 and 1,028,655,537 is: 2,213,632,827.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,007,102.50 : 1,028,655,537 = 1,028,655,537 : x
  2. Step 2: Convert to fraction form
    478,007,102.50/1,028,655,537 = 1,028,655,537/x
  3. Step 3: Cross multiply
    478,007,102.50x = 1,028,655,537 × 1,028,655,537
  4. Step 4: Simplify right side
    478,007,102.50x = 1,058,132,213,800,758,400
  5. Step 5: Solve for x
    x = 1,058,132,213,800,758,400/478,007,102.50
  6. Step 6: Final answer
    x = 2,213,632,827.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.