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Finding the Third Proportional to 77,052,820 and 112,814,862

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Solution

The third proportional to 77,052,820 and 112,814,862 is: 165,174,916.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,052,820 : 112,814,862 = 112,814,862 : x
  2. Step 2: Convert to fraction form
    77,052,820/112,814,862 = 112,814,862/x
  3. Step 3: Cross multiply
    77,052,820x = 112,814,862 × 112,814,862
  4. Step 4: Simplify right side
    77,052,820x = 12,727,193,088,079,044
  5. Step 5: Solve for x
    x = 12,727,193,088,079,044/77,052,820
  6. Step 6: Final answer
    x = 165,174,916.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.