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Finding the Third Proportional to 2,630,514,744 and 5,724,106,164

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Solution

The third proportional to 2,630,514,744 and 5,724,106,164 is: 12,455,885,849.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630,514,744 : 5,724,106,164 = 5,724,106,164 : x
  2. Step 2: Convert to fraction form
    2,630,514,744/5,724,106,164 = 5,724,106,164/x
  3. Step 3: Cross multiply
    2,630,514,744x = 5,724,106,164 × 5,724,106,164
  4. Step 4: Simplify right side
    2,630,514,744x = 32,765,391,376,742,793,216
  5. Step 5: Solve for x
    x = 32,765,391,376,742,793,216/2,630,514,744
  6. Step 6: Final answer
    x = 12,455,885,849.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.