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Finding the Third Proportional to 229,777,944,628 and 502,841,017,207

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Solution

The third proportional to 229,777,944,628 and 502,841,017,207 is: 1,100,406,259,596.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,777,944,628 : 502,841,017,207 = 502,841,017,207 : x
  2. Step 2: Convert to fraction form
    229,777,944,628/502,841,017,207 = 502,841,017,207/x
  3. Step 3: Cross multiply
    229,777,944,628x = 502,841,017,207 × 502,841,017,207
  4. Step 4: Simplify right side
    229,777,944,628x = 252,849,088,585,770,484,105,216
  5. Step 5: Solve for x
    x = 252,849,088,585,770,484,105,216/229,777,944,628
  6. Step 6: Final answer
    x = 1,100,406,259,596.07

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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.