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Finding the Third Proportional to 5,714,946 and 12,225,294

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Solution

The third proportional to 5,714,946 and 12,225,294 is: 26,152,095.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714,946 : 12,225,294 = 12,225,294 : x
  2. Step 2: Convert to fraction form
    5,714,946/12,225,294 = 12,225,294/x
  3. Step 3: Cross multiply
    5,714,946x = 12,225,294 × 12,225,294
  4. Step 4: Simplify right side
    5,714,946x = 149,457,813,386,436
  5. Step 5: Solve for x
    x = 149,457,813,386,436/5,714,946
  6. Step 6: Final answer
    x = 26,152,095.47

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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.