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Finding the Third Proportional to 5,139,620,784 and 6,934,555,192.50

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Solution

The third proportional to 5,139,620,784 and 6,934,555,192.50 is: 9,356,343,150.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139,620,784 : 6,934,555,192.50 = 6,934,555,192.50 : x
  2. Step 2: Convert to fraction form
    5,139,620,784/6,934,555,192.50 = 6,934,555,192.50/x
  3. Step 3: Cross multiply
    5,139,620,784x = 6,934,555,192.50 × 6,934,555,192.50
  4. Step 4: Simplify right side
    5,139,620,784x = 48,088,055,717,828,714,496
  5. Step 5: Solve for x
    x = 48,088,055,717,828,714,496/5,139,620,784
  6. Step 6: Final answer
    x = 9,356,343,150.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.