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Finding the Third Proportional to 971,635,828.50 and 2,098,095,268.50

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Solution

The third proportional to 971,635,828.50 and 2,098,095,268.50 is: 4,530,507,857.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,635,828.50 : 2,098,095,268.50 = 2,098,095,268.50 : x
  2. Step 2: Convert to fraction form
    971,635,828.50/2,098,095,268.50 = 2,098,095,268.50/x
  3. Step 3: Cross multiply
    971,635,828.50x = 2,098,095,268.50 × 2,098,095,268.50
  4. Step 4: Simplify right side
    971,635,828.50x = 4,402,003,755,702,087,168
  5. Step 5: Solve for x
    x = 4,402,003,755,702,087,168/971,635,828.50
  6. Step 6: Final answer
    x = 4,530,507,857.56

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