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Finding the Third Proportional to 2,004,855,332 and 4,174,701,776

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Solution

The third proportional to 2,004,855,332 and 4,174,701,776 is: 8,692,963,846.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004,855,332 : 4,174,701,776 = 4,174,701,776 : x
  2. Step 2: Convert to fraction form
    2,004,855,332/4,174,701,776 = 4,174,701,776/x
  3. Step 3: Cross multiply
    2,004,855,332x = 4,174,701,776 × 4,174,701,776
  4. Step 4: Simplify right side
    2,004,855,332x = 17,428,134,918,537,553,920
  5. Step 5: Solve for x
    x = 17,428,134,918,537,553,920/2,004,855,332
  6. Step 6: Final answer
    x = 8,692,963,846.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.