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Finding the Third Proportional to 2,582,330,905 and 5,523,679,730

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Solution

The third proportional to 2,582,330,905 and 5,523,679,730 is: 11,815,309,068.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582,330,905 : 5,523,679,730 = 5,523,679,730 : x
  2. Step 2: Convert to fraction form
    2,582,330,905/5,523,679,730 = 5,523,679,730/x
  3. Step 3: Cross multiply
    2,582,330,905x = 5,523,679,730 × 5,523,679,730
  4. Step 4: Simplify right side
    2,582,330,905x = 30,511,037,759,612,874,752
  5. Step 5: Solve for x
    x = 30,511,037,759,612,874,752/2,582,330,905
  6. Step 6: Final answer
    x = 11,815,309,068.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.