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Finding the Third Proportional to 1,887,354,804 and 4,137,506,664

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Solution

The third proportional to 1,887,354,804 and 4,137,506,664 is: 9,070,346,157.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887,354,804 : 4,137,506,664 = 4,137,506,664 : x
  2. Step 2: Convert to fraction form
    1,887,354,804/4,137,506,664 = 4,137,506,664/x
  3. Step 3: Cross multiply
    1,887,354,804x = 4,137,506,664 × 4,137,506,664
  4. Step 4: Simplify right side
    1,887,354,804x = 17,118,961,394,644,408,320
  5. Step 5: Solve for x
    x = 17,118,961,394,644,408,320/1,887,354,804
  6. Step 6: Final answer
    x = 9,070,346,157.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.