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Finding the Third Proportional to 1,049,915,457 and 2,249,587,008

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Solution

The third proportional to 1,049,915,457 and 2,249,587,008 is: 4,820,046,864.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,915,457 : 2,249,587,008 = 2,249,587,008 : x
  2. Step 2: Convert to fraction form
    1,049,915,457/2,249,587,008 = 2,249,587,008/x
  3. Step 3: Cross multiply
    1,049,915,457x = 2,249,587,008 × 2,249,587,008
  4. Step 4: Simplify right side
    1,049,915,457x = 5,060,641,706,562,392,064
  5. Step 5: Solve for x
    x = 5,060,641,706,562,392,064/1,049,915,457
  6. Step 6: Final answer
    x = 4,820,046,864.56

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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.