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Finding the Third Proportional to 35,984,753 and 78,358,786

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Solution

The third proportional to 35,984,753 and 78,358,786 is: 170,630,581.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,984,753 : 78,358,786 = 78,358,786 : x
  2. Step 2: Convert to fraction form
    35,984,753/78,358,786 = 78,358,786/x
  3. Step 3: Cross multiply
    35,984,753x = 78,358,786 × 78,358,786
  4. Step 4: Simplify right side
    35,984,753x = 6,140,099,343,393,796
  5. Step 5: Solve for x
    x = 6,140,099,343,393,796/35,984,753
  6. Step 6: Final answer
    x = 170,630,581.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.