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Finding the Third Proportional to 35,862,309,896.50 and 78,480,292,871.50

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Solution

The third proportional to 35,862,309,896.50 and 78,480,292,871.50 is: 171,744,552,622.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,862,309,896.50 : 78,480,292,871.50 = 78,480,292,871.50 : x
  2. Step 2: Convert to fraction form
    35,862,309,896.50/78,480,292,871.50 = 78,480,292,871.50/x
  3. Step 3: Cross multiply
    35,862,309,896.50x = 78,480,292,871.50 × 78,480,292,871.50
  4. Step 4: Simplify right side
    35,862,309,896.50x = 6,159,156,369,196,414,140,416
  5. Step 5: Solve for x
    x = 6,159,156,369,196,414,140,416/35,862,309,896.50
  6. Step 6: Final answer
    x = 171,744,552,622.85

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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.