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Finding the Third Proportional to 2,731,773,712 and 5,877,871,352

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Solution

The third proportional to 2,731,773,712 and 5,877,871,352 is: 12,647,230,434.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731,773,712 : 5,877,871,352 = 5,877,871,352 : x
  2. Step 2: Convert to fraction form
    2,731,773,712/5,877,871,352 = 5,877,871,352/x
  3. Step 3: Cross multiply
    2,731,773,712x = 5,877,871,352 × 5,877,871,352
  4. Step 4: Simplify right side
    2,731,773,712x = 34,549,371,630,662,307,840
  5. Step 5: Solve for x
    x = 34,549,371,630,662,307,840/2,731,773,712
  6. Step 6: Final answer
    x = 12,647,230,434.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.