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Finding the Third Proportional to 2,766,756,411 and 6,024,763,460

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Solution

The third proportional to 2,766,756,411 and 6,024,763,460 is: 13,119,252,061.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766,756,411 : 6,024,763,460 = 6,024,763,460 : x
  2. Step 2: Convert to fraction form
    2,766,756,411/6,024,763,460 = 6,024,763,460/x
  3. Step 3: Cross multiply
    2,766,756,411x = 6,024,763,460 × 6,024,763,460
  4. Step 4: Simplify right side
    2,766,756,411x = 36,297,774,748,951,171,072
  5. Step 5: Solve for x
    x = 36,297,774,748,951,171,072/2,766,756,411
  6. Step 6: Final answer
    x = 13,119,252,061.60

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