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Finding the Third Proportional to 856,603,471.50 and 1,155,759,202.13

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Solution

The third proportional to 856,603,471.50 and 1,155,759,202.13 is: 1,559,390,520.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,603,471.50 : 1,155,759,202.13 = 1,155,759,202.13 : x
  2. Step 2: Convert to fraction form
    856,603,471.50/1,155,759,202.13 = 1,155,759,202.13/x
  3. Step 3: Cross multiply
    856,603,471.50x = 1,155,759,202.13 × 1,155,759,202.13
  4. Step 4: Simplify right side
    856,603,471.50x = 1,335,779,333,296,616,704
  5. Step 5: Solve for x
    x = 1,335,779,333,296,616,704/856,603,471.50
  6. Step 6: Final answer
    x = 1,559,390,520.51

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.