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Finding the Third Proportional to 2,897,341,577 and 6,276,016,766

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Solution

The third proportional to 2,897,341,577 and 6,276,016,766 is: 13,594,664,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897,341,577 : 6,276,016,766 = 6,276,016,766 : x
  2. Step 2: Convert to fraction form
    2,897,341,577/6,276,016,766 = 6,276,016,766/x
  3. Step 3: Cross multiply
    2,897,341,577x = 6,276,016,766 × 6,276,016,766
  4. Step 4: Simplify right side
    2,897,341,577x = 39,388,386,447,113,101,312
  5. Step 5: Solve for x
    x = 39,388,386,447,113,101,312/2,897,341,577
  6. Step 6: Final answer
    x = 13,594,664,419.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.