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Finding the Third Proportional to 1,293,712,612 and 2,814,097,352

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Solution

The third proportional to 1,293,712,612 and 2,814,097,352 is: 6,121,254,313.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,712,612 : 2,814,097,352 = 2,814,097,352 : x
  2. Step 2: Convert to fraction form
    1,293,712,612/2,814,097,352 = 2,814,097,352/x
  3. Step 3: Cross multiply
    1,293,712,612x = 2,814,097,352 × 2,814,097,352
  4. Step 4: Simplify right side
    1,293,712,612x = 7,919,143,906,533,411,840
  5. Step 5: Solve for x
    x = 7,919,143,906,533,411,840/1,293,712,612
  6. Step 6: Final answer
    x = 6,121,254,313.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.