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Finding the Third Proportional to 35,654,700 and 78,124,140

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Solution

The third proportional to 35,654,700 and 78,124,140 is: 171,180,272.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,654,700 : 78,124,140 = 78,124,140 : x
  2. Step 2: Convert to fraction form
    35,654,700/78,124,140 = 78,124,140/x
  3. Step 3: Cross multiply
    35,654,700x = 78,124,140 × 78,124,140
  4. Step 4: Simplify right side
    35,654,700x = 6,103,381,250,739,600
  5. Step 5: Solve for x
    x = 6,103,381,250,739,600/35,654,700
  6. Step 6: Final answer
    x = 171,180,272.19

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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.