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Finding the Third Proportional to 2,526,541,907 and 5,634,017,677

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Solution

The third proportional to 2,526,541,907 and 5,634,017,677 is: 12,563,478,601.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526,541,907 : 5,634,017,677 = 5,634,017,677 : x
  2. Step 2: Convert to fraction form
    2,526,541,907/5,634,017,677 = 5,634,017,677/x
  3. Step 3: Cross multiply
    2,526,541,907x = 5,634,017,677 × 5,634,017,677
  4. Step 4: Simplify right side
    2,526,541,907x = 31,742,155,184,748,474,368
  5. Step 5: Solve for x
    x = 31,742,155,184,748,474,368/2,526,541,907
  6. Step 6: Final answer
    x = 12,563,478,601.64

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.