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Finding the Third Proportional to 575,689,795.50 and 841,944,849.75

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Solution

The third proportional to 575,689,795.50 and 841,944,849.75 is: 1,231,342,183.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,689,795.50 : 841,944,849.75 = 841,944,849.75 : x
  2. Step 2: Convert to fraction form
    575,689,795.50/841,944,849.75 = 841,944,849.75/x
  3. Step 3: Cross multiply
    575,689,795.50x = 841,944,849.75 × 841,944,849.75
  4. Step 4: Simplify right side
    575,689,795.50x = 708,871,130,020,550,016
  5. Step 5: Solve for x
    x = 708,871,130,020,550,016/575,689,795.50
  6. Step 6: Final answer
    x = 1,231,342,183.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.