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Finding the Third Proportional to 560,533,185 and 1,309,658,492.50

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Solution

The third proportional to 560,533,185 and 1,309,658,492.50 is: 3,059,953,296.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,533,185 : 1,309,658,492.50 = 1,309,658,492.50 : x
  2. Step 2: Convert to fraction form
    560,533,185/1,309,658,492.50 = 1,309,658,492.50/x
  3. Step 3: Cross multiply
    560,533,185x = 1,309,658,492.50 × 1,309,658,492.50
  4. Step 4: Simplify right side
    560,533,185x = 1,715,205,366,977,372,672
  5. Step 5: Solve for x
    x = 1,715,205,366,977,372,672/560,533,185
  6. Step 6: Final answer
    x = 3,059,953,296.03

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.