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Finding the Third Proportional to 846,918,072 and 1,834,535,088

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Solution

The third proportional to 846,918,072 and 1,834,535,088 is: 3,973,842,453.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,918,072 : 1,834,535,088 = 1,834,535,088 : x
  2. Step 2: Convert to fraction form
    846,918,072/1,834,535,088 = 1,834,535,088/x
  3. Step 3: Cross multiply
    846,918,072x = 1,834,535,088 × 1,834,535,088
  4. Step 4: Simplify right side
    846,918,072x = 3,365,518,989,103,167,488
  5. Step 5: Solve for x
    x = 3,365,518,989,103,167,488/846,918,072
  6. Step 6: Final answer
    x = 3,973,842,453.44

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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.