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Finding the Third Proportional to 1,779,229,569 and 3,705,724,335

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Solution

The third proportional to 1,779,229,569 and 3,705,724,335 is: 7,718,168,069.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779,229,569 : 3,705,724,335 = 3,705,724,335 : x
  2. Step 2: Convert to fraction form
    1,779,229,569/3,705,724,335 = 3,705,724,335/x
  3. Step 3: Cross multiply
    1,779,229,569x = 3,705,724,335 × 3,705,724,335
  4. Step 4: Simplify right side
    1,779,229,569x = 13,732,392,847,011,192,832
  5. Step 5: Solve for x
    x = 13,732,392,847,011,192,832/1,779,229,569
  6. Step 6: Final answer
    x = 7,718,168,069.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.