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Finding the Third Proportional to 1,166,609,360 and 1,705,623,633

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Solution

The third proportional to 1,166,609,360 and 1,705,623,633 is: 2,493,681,327.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166,609,360 : 1,705,623,633 = 1,705,623,633 : x
  2. Step 2: Convert to fraction form
    1,166,609,360/1,705,623,633 = 1,705,623,633/x
  3. Step 3: Cross multiply
    1,166,609,360x = 1,705,623,633 × 1,705,623,633
  4. Step 4: Simplify right side
    1,166,609,360x = 2,909,151,977,448,118,784
  5. Step 5: Solve for x
    x = 2,909,151,977,448,118,784/1,166,609,360
  6. Step 6: Final answer
    x = 2,493,681,327.44

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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.