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Finding the Third Proportional to 55,374,346 and 120,712,664

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Solution

The third proportional to 55,374,346 and 120,712,664 is: 263,146,173.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,374,346 : 120,712,664 = 120,712,664 : x
  2. Step 2: Convert to fraction form
    55,374,346/120,712,664 = 120,712,664/x
  3. Step 3: Cross multiply
    55,374,346x = 120,712,664 × 120,712,664
  4. Step 4: Simplify right side
    55,374,346x = 14,571,547,249,976,896
  5. Step 5: Solve for x
    x = 14,571,547,249,976,896/55,374,346
  6. Step 6: Final answer
    x = 263,146,173.32

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.