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Finding the Third Proportional to 1,653,206,820 and 3,569,402,917.50

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Solution

The third proportional to 1,653,206,820 and 3,569,402,917.50 is: 7,706,620,268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653,206,820 : 3,569,402,917.50 = 3,569,402,917.50 : x
  2. Step 2: Convert to fraction form
    1,653,206,820/3,569,402,917.50 = 3,569,402,917.50/x
  3. Step 3: Cross multiply
    1,653,206,820x = 3,569,402,917.50 × 3,569,402,917.50
  4. Step 4: Simplify right side
    1,653,206,820x = 12,740,637,187,457,511,424
  5. Step 5: Solve for x
    x = 12,740,637,187,457,511,424/1,653,206,820
  6. Step 6: Final answer
    x = 7,706,620,268.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.