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Finding the Third Proportional to 437,367,355.10 and 963,884,105.02

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Solution

The third proportional to 437,367,355.10 and 963,884,105.02 is: 2,124,238,485.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,367,355.10 : 963,884,105.02 = 963,884,105.02 : x
  2. Step 2: Convert to fraction form
    437,367,355.10/963,884,105.02 = 963,884,105.02/x
  3. Step 3: Cross multiply
    437,367,355.10x = 963,884,105.02 × 963,884,105.02
  4. Step 4: Simplify right side
    437,367,355.10x = 929,072,567,901,762,688
  5. Step 5: Solve for x
    x = 929,072,567,901,762,688/437,367,355.10
  6. Step 6: Final answer
    x = 2,124,238,485.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.