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Finding the Third Proportional to 53,876,358 and 82,159,663.50

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Solution

The third proportional to 53,876,358 and 82,159,663.50 is: 125,290,768.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,876,358 : 82,159,663.50 = 82,159,663.50 : x
  2. Step 2: Convert to fraction form
    53,876,358/82,159,663.50 = 82,159,663.50/x
  3. Step 3: Cross multiply
    53,876,358x = 82,159,663.50 × 82,159,663.50
  4. Step 4: Simplify right side
    53,876,358x = 6,750,210,306,433,232
  5. Step 5: Solve for x
    x = 6,750,210,306,433,232/53,876,358
  6. Step 6: Final answer
    x = 125,290,768.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.