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Finding the Third Proportional to 10,427,465 and 21,808,312

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Solution

The third proportional to 10,427,465 and 21,808,312 is: 45,610,555.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427,465 : 21,808,312 = 21,808,312 : x
  2. Step 2: Convert to fraction form
    10,427,465/21,808,312 = 21,808,312/x
  3. Step 3: Cross multiply
    10,427,465x = 21,808,312 × 21,808,312
  4. Step 4: Simplify right side
    10,427,465x = 475,602,472,289,344
  5. Step 5: Solve for x
    x = 475,602,472,289,344/10,427,465
  6. Step 6: Final answer
    x = 45,610,555.61

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.