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Finding the Third Proportional to 473,543,928,630 and 1,104,974,018,613

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Solution

The third proportional to 473,543,928,630 and 1,104,974,018,613 is: 2,578,361,811,843.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,543,928,630 : 1,104,974,018,613 = 1,104,974,018,613 : x
  2. Step 2: Convert to fraction form
    473,543,928,630/1,104,974,018,613 = 1,104,974,018,613/x
  3. Step 3: Cross multiply
    473,543,928,630x = 1,104,974,018,613 × 1,104,974,018,613
  4. Step 4: Simplify right side
    473,543,928,630x = 1,220,967,581,809,762,602,319,872
  5. Step 5: Solve for x
    x = 1,220,967,581,809,762,602,319,872/473,543,928,630
  6. Step 6: Final answer
    x = 2,578,361,811,843.13

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.