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Finding the Third Proportional to 1,166,609,363 and 1,705,623,637

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Solution

The third proportional to 1,166,609,363 and 1,705,623,637 is: 2,493,681,332.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166,609,363 : 1,705,623,637 = 1,705,623,637 : x
  2. Step 2: Convert to fraction form
    1,166,609,363/1,705,623,637 = 1,705,623,637/x
  3. Step 3: Cross multiply
    1,166,609,363x = 1,705,623,637 × 1,705,623,637
  4. Step 4: Simplify right side
    1,166,609,363x = 2,909,151,991,093,107,712
  5. Step 5: Solve for x
    x = 2,909,151,991,093,107,712/1,166,609,363
  6. Step 6: Final answer
    x = 2,493,681,332.72

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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.