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Finding the Third Proportional to 46,656,336 and 101,802,528

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Solution

The third proportional to 46,656,336 and 101,802,528 is: 222,129,631.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,656,336 : 101,802,528 = 101,802,528 : x
  2. Step 2: Convert to fraction form
    46,656,336/101,802,528 = 101,802,528/x
  3. Step 3: Cross multiply
    46,656,336x = 101,802,528 × 101,802,528
  4. Step 4: Simplify right side
    46,656,336x = 10,363,754,707,190,784
  5. Step 5: Solve for x
    x = 10,363,754,707,190,784/46,656,336
  6. Step 6: Final answer
    x = 222,129,631.17

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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.