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Finding the Third Proportional to 10,870,095 and 23,693,426

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Solution

The third proportional to 10,870,095 and 23,693,426 is: 51,644,298.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,870,095 : 23,693,426 = 23,693,426 : x
  2. Step 2: Convert to fraction form
    10,870,095/23,693,426 = 23,693,426/x
  3. Step 3: Cross multiply
    10,870,095x = 23,693,426 × 23,693,426
  4. Step 4: Simplify right side
    10,870,095x = 561,378,435,617,476
  5. Step 5: Solve for x
    x = 561,378,435,617,476/10,870,095
  6. Step 6: Final answer
    x = 51,644,298.93

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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.