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Finding the Third Proportional to 1,364,657,565.75 and 1,950,131,221.13

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Solution

The third proportional to 1,364,657,565.75 and 1,950,131,221.13 is: 2,786,788,330.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364,657,565.75 : 1,950,131,221.13 = 1,950,131,221.13 : x
  2. Step 2: Convert to fraction form
    1,364,657,565.75/1,950,131,221.13 = 1,950,131,221.13/x
  3. Step 3: Cross multiply
    1,364,657,565.75x = 1,950,131,221.13 × 1,950,131,221.13
  4. Step 4: Simplify right side
    1,364,657,565.75x = 3,803,011,779,606,483,456
  5. Step 5: Solve for x
    x = 3,803,011,779,606,483,456/1,364,657,565.75
  6. Step 6: Final answer
    x = 2,786,788,330.68

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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.