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Finding the Third Proportional to 2,708,011,282 and 5,896,774,796

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Solution

The third proportional to 2,708,011,282 and 5,896,774,796 is: 12,840,401,820.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708,011,282 : 5,896,774,796 = 5,896,774,796 : x
  2. Step 2: Convert to fraction form
    2,708,011,282/5,896,774,796 = 5,896,774,796/x
  3. Step 3: Cross multiply
    2,708,011,282x = 5,896,774,796 × 5,896,774,796
  4. Step 4: Simplify right side
    2,708,011,282x = 34,771,952,994,740,842,496
  5. Step 5: Solve for x
    x = 34,771,952,994,740,842,496/2,708,011,282
  6. Step 6: Final answer
    x = 12,840,401,820.28

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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.