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Finding the Third Proportional to 1,057,894,630 and 2,470,357,098

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Solution

The third proportional to 1,057,894,630 and 2,470,357,098 is: 5,768,688,126.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057,894,630 : 2,470,357,098 = 2,470,357,098 : x
  2. Step 2: Convert to fraction form
    1,057,894,630/2,470,357,098 = 2,470,357,098/x
  3. Step 3: Cross multiply
    1,057,894,630x = 2,470,357,098 × 2,470,357,098
  4. Step 4: Simplify right side
    1,057,894,630x = 6,102,664,191,638,981,632
  5. Step 5: Solve for x
    x = 6,102,664,191,638,981,632/1,057,894,630
  6. Step 6: Final answer
    x = 5,768,688,126.94

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.