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Finding the Third Proportional to 35,862,309,888.75 and 78,480,292,855.50

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Solution

The third proportional to 35,862,309,888.75 and 78,480,292,855.50 is: 171,744,552,589.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,862,309,888.75 : 78,480,292,855.50 = 78,480,292,855.50 : x
  2. Step 2: Convert to fraction form
    35,862,309,888.75/78,480,292,855.50 = 78,480,292,855.50/x
  3. Step 3: Cross multiply
    35,862,309,888.75x = 78,480,292,855.50 × 78,480,292,855.50
  4. Step 4: Simplify right side
    35,862,309,888.75x = 6,159,156,366,685,044,211,712
  5. Step 5: Solve for x
    x = 6,159,156,366,685,044,211,712/35,862,309,888.75
  6. Step 6: Final answer
    x = 171,744,552,589.94

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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.