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Finding the Third Proportional to 76,029,490 and 117,779,671

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Solution

The third proportional to 76,029,490 and 117,779,671 is: 182,456,187.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,029,490 : 117,779,671 = 117,779,671 : x
  2. Step 2: Convert to fraction form
    76,029,490/117,779,671 = 117,779,671/x
  3. Step 3: Cross multiply
    76,029,490x = 117,779,671 × 117,779,671
  4. Step 4: Simplify right side
    76,029,490x = 13,872,050,900,868,240
  5. Step 5: Solve for x
    x = 13,872,050,900,868,240/76,029,490
  6. Step 6: Final answer
    x = 182,456,187.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.