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Finding the Third Proportional to 1,636,430,184 and 3,578,964,552

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Solution

The third proportional to 1,636,430,184 and 3,578,964,552 is: 7,827,396,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636,430,184 : 3,578,964,552 = 3,578,964,552 : x
  2. Step 2: Convert to fraction form
    1,636,430,184/3,578,964,552 = 3,578,964,552/x
  3. Step 3: Cross multiply
    1,636,430,184x = 3,578,964,552 × 3,578,964,552
  4. Step 4: Simplify right side
    1,636,430,184x = 12,808,987,264,472,561,664
  5. Step 5: Solve for x
    x = 12,808,987,264,472,561,664/1,636,430,184
  6. Step 6: Final answer
    x = 7,827,396,114.85

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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.