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Finding the Third Proportional to 1,755,793,473 and 2,536,818,364

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Solution

The third proportional to 1,755,793,473 and 2,536,818,364 is: 3,665,264,457.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755,793,473 : 2,536,818,364 = 2,536,818,364 : x
  2. Step 2: Convert to fraction form
    1,755,793,473/2,536,818,364 = 2,536,818,364/x
  3. Step 3: Cross multiply
    1,755,793,473x = 2,536,818,364 × 2,536,818,364
  4. Step 4: Simplify right side
    1,755,793,473x = 6,435,447,411,927,636,992
  5. Step 5: Solve for x
    x = 6,435,447,411,927,636,992/1,755,793,473
  6. Step 6: Final answer
    x = 3,665,264,457.86

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.