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Finding the Third Proportional to 10,120,746 and 22,038,480

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Solution

The third proportional to 10,120,746 and 22,038,480 is: 47,990,000.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,120,746 : 22,038,480 = 22,038,480 : x
  2. Step 2: Convert to fraction form
    10,120,746/22,038,480 = 22,038,480/x
  3. Step 3: Cross multiply
    10,120,746x = 22,038,480 × 22,038,480
  4. Step 4: Simplify right side
    10,120,746x = 485,694,600,710,400
  5. Step 5: Solve for x
    x = 485,694,600,710,400/10,120,746
  6. Step 6: Final answer
    x = 47,990,000.02

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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.