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Finding the Third Proportional to 162,254,320,594 and 346,838,140,580

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Solution

The third proportional to 162,254,320,594 and 346,838,140,580 is: 741,408,273,878.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,254,320,594 : 346,838,140,580 = 346,838,140,580 : x
  2. Step 2: Convert to fraction form
    162,254,320,594/346,838,140,580 = 346,838,140,580/x
  3. Step 3: Cross multiply
    162,254,320,594x = 346,838,140,580 × 346,838,140,580
  4. Step 4: Simplify right side
    162,254,320,594x = 120,296,695,760,991,842,992,128
  5. Step 5: Solve for x
    x = 120,296,695,760,991,842,992,128/162,254,320,594
  6. Step 6: Final answer
    x = 741,408,273,878.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.