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Finding the Third Proportional to 758,755,431 and 1,138,133,070.56

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Solution

The third proportional to 758,755,431 and 1,138,133,070.56 is: 1,707,199,491.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,755,431 : 1,138,133,070.56 = 1,138,133,070.56 : x
  2. Step 2: Convert to fraction form
    758,755,431/1,138,133,070.56 = 1,138,133,070.56/x
  3. Step 3: Cross multiply
    758,755,431x = 1,138,133,070.56 × 1,138,133,070.56
  4. Step 4: Simplify right side
    758,755,431x = 1,295,346,886,308,024,576
  5. Step 5: Solve for x
    x = 1,295,346,886,308,024,576/758,755,431
  6. Step 6: Final answer
    x = 1,707,199,491.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.