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Finding the Third Proportional to 585,417,138 and 1,272,867,060

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Solution

The third proportional to 585,417,138 and 1,272,867,060 is: 2,767,583,057.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,417,138 : 1,272,867,060 = 1,272,867,060 : x
  2. Step 2: Convert to fraction form
    585,417,138/1,272,867,060 = 1,272,867,060/x
  3. Step 3: Cross multiply
    585,417,138x = 1,272,867,060 × 1,272,867,060
  4. Step 4: Simplify right side
    585,417,138x = 1,620,190,552,433,043,712
  5. Step 5: Solve for x
    x = 1,620,190,552,433,043,712/585,417,138
  6. Step 6: Final answer
    x = 2,767,583,057.05

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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.