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Finding the Third Proportional to 987,884,501.63 and 1,950,784,705.13

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Solution

The third proportional to 987,884,501.63 and 1,950,784,705.13 is: 3,852,232,684.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    987,884,501.63 : 1,950,784,705.13 = 1,950,784,705.13 : x
  2. Step 2: Convert to fraction form
    987,884,501.63/1,950,784,705.13 = 1,950,784,705.13/x
  3. Step 3: Cross multiply
    987,884,501.63x = 1,950,784,705.13 × 1,950,784,705.13
  4. Step 4: Simplify right side
    987,884,501.63x = 3,805,560,965,749,633,024
  5. Step 5: Solve for x
    x = 3,805,560,965,749,633,024/987,884,501.63
  6. Step 6: Final answer
    x = 3,852,232,684.58

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.