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Finding the Third Proportional to 1,636,693,648 and 3,505,547,552

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Solution

The third proportional to 1,636,693,648 and 3,505,547,552 is: 7,508,346,876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636,693,648 : 3,505,547,552 = 3,505,547,552 : x
  2. Step 2: Convert to fraction form
    1,636,693,648/3,505,547,552 = 3,505,547,552/x
  3. Step 3: Cross multiply
    1,636,693,648x = 3,505,547,552 × 3,505,547,552
  4. Step 4: Simplify right side
    1,636,693,648x = 12,288,863,639,333,191,680
  5. Step 5: Solve for x
    x = 12,288,863,639,333,191,680/1,636,693,648
  6. Step 6: Final answer
    x = 7,508,346,876.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.