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Finding the Third Proportional to 763,990,290 and 1,636,892,748

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Solution

The third proportional to 763,990,290 and 1,636,892,748 is: 3,507,136,024.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,990,290 : 1,636,892,748 = 1,636,892,748 : x
  2. Step 2: Convert to fraction form
    763,990,290/1,636,892,748 = 1,636,892,748/x
  3. Step 3: Cross multiply
    763,990,290x = 1,636,892,748 × 1,636,892,748
  4. Step 4: Simplify right side
    763,990,290x = 2,679,417,868,454,991,360
  5. Step 5: Solve for x
    x = 2,679,417,868,454,991,360/763,990,290
  6. Step 6: Final answer
    x = 3,507,136,024.54

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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.