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Finding the Third Proportional to 1,636,693,654 and 3,505,547,564

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Solution

The third proportional to 1,636,693,654 and 3,505,547,564 is: 7,508,346,900.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636,693,654 : 3,505,547,564 = 3,505,547,564 : x
  2. Step 2: Convert to fraction form
    1,636,693,654/3,505,547,564 = 3,505,547,564/x
  3. Step 3: Cross multiply
    1,636,693,654x = 3,505,547,564 × 3,505,547,564
  4. Step 4: Simplify right side
    1,636,693,654x = 12,288,863,723,466,334,208
  5. Step 5: Solve for x
    x = 12,288,863,723,466,334,208/1,636,693,654
  6. Step 6: Final answer
    x = 7,508,346,900.13

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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.