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Finding the Third Proportional to 35,856,543 and 78,401,821.50

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Solution

The third proportional to 35,856,543 and 78,401,821.50 is: 171,428,841.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,856,543 : 78,401,821.50 = 78,401,821.50 : x
  2. Step 2: Convert to fraction form
    35,856,543/78,401,821.50 = 78,401,821.50/x
  3. Step 3: Cross multiply
    35,856,543x = 78,401,821.50 × 78,401,821.50
  4. Step 4: Simplify right side
    35,856,543x = 6,146,845,614,517,862
  5. Step 5: Solve for x
    x = 6,146,845,614,517,862/35,856,543
  6. Step 6: Final answer
    x = 171,428,841.16

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.