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Finding the Third Proportional to 545,101,502,352 and 1,192,788,123,816

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Solution

The third proportional to 545,101,502,352 and 1,192,788,123,816 is: 2,610,052,443,769.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,101,502,352 : 1,192,788,123,816 = 1,192,788,123,816 : x
  2. Step 2: Convert to fraction form
    545,101,502,352/1,192,788,123,816 = 1,192,788,123,816/x
  3. Step 3: Cross multiply
    545,101,502,352x = 1,192,788,123,816 × 1,192,788,123,816
  4. Step 4: Simplify right side
    545,101,502,352x = 1,422,743,508,316,493,289,881,600
  5. Step 5: Solve for x
    x = 1,422,743,508,316,493,289,881,600/545,101,502,352
  6. Step 6: Final answer
    x = 2,610,052,443,769.92

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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.