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Finding the Third Proportional to 52,421,870.25 and 82,055,281.50

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Solution

The third proportional to 52,421,870.25 and 82,055,281.50 is: 128,440,080.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,421,870.25 : 82,055,281.50 = 82,055,281.50 : x
  2. Step 2: Convert to fraction form
    52,421,870.25/82,055,281.50 = 82,055,281.50/x
  3. Step 3: Cross multiply
    52,421,870.25x = 82,055,281.50 × 82,055,281.50
  4. Step 4: Simplify right side
    52,421,870.25x = 6,733,069,222,044,242
  5. Step 5: Solve for x
    x = 6,733,069,222,044,242/52,421,870.25
  6. Step 6: Final answer
    x = 128,440,080.26

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.