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Finding the Third Proportional to 46,875,765 and 102,827,946

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Solution

The third proportional to 46,875,765 and 102,827,946 is: 225,566,163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,875,765 : 102,827,946 = 102,827,946 : x
  2. Step 2: Convert to fraction form
    46,875,765/102,827,946 = 102,827,946/x
  3. Step 3: Cross multiply
    46,875,765x = 102,827,946 × 102,827,946
  4. Step 4: Simplify right side
    46,875,765x = 10,573,586,478,578,916
  5. Step 5: Solve for x
    x = 10,573,586,478,578,916/46,875,765
  6. Step 6: Final answer
    x = 225,566,163.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.