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Finding the Third Proportional to 972,201,042 and 1,389,252,789

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Solution

The third proportional to 972,201,042 and 1,389,252,789 is: 1,985,210,083.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,201,042 : 1,389,252,789 = 1,389,252,789 : x
  2. Step 2: Convert to fraction form
    972,201,042/1,389,252,789 = 1,389,252,789/x
  3. Step 3: Cross multiply
    972,201,042x = 1,389,252,789 × 1,389,252,789
  4. Step 4: Simplify right side
    972,201,042x = 1,930,023,311,744,278,528
  5. Step 5: Solve for x
    x = 1,930,023,311,744,278,528/972,201,042
  6. Step 6: Final answer
    x = 1,985,210,083.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.