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Finding the Third Proportional to 2,259,160,848 and 4,881,328,704

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Solution

The third proportional to 2,259,160,848 and 4,881,328,704 is: 10,547,000,200.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259,160,848 : 4,881,328,704 = 4,881,328,704 : x
  2. Step 2: Convert to fraction form
    2,259,160,848/4,881,328,704 = 4,881,328,704/x
  3. Step 3: Cross multiply
    2,259,160,848x = 4,881,328,704 × 4,881,328,704
  4. Step 4: Simplify right side
    2,259,160,848x = 23,827,369,916,494,319,616
  5. Step 5: Solve for x
    x = 23,827,369,916,494,319,616/2,259,160,848
  6. Step 6: Final answer
    x = 10,547,000,200.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.