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Finding the Third Proportional to 560,829,442.50 and 1,298,218,612.50

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Solution

The third proportional to 560,829,442.50 and 1,298,218,612.50 is: 3,005,141,025.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,829,442.50 : 1,298,218,612.50 = 1,298,218,612.50 : x
  2. Step 2: Convert to fraction form
    560,829,442.50/1,298,218,612.50 = 1,298,218,612.50/x
  3. Step 3: Cross multiply
    560,829,442.50x = 1,298,218,612.50 × 1,298,218,612.50
  4. Step 4: Simplify right side
    560,829,442.50x = 1,685,371,565,841,425,152
  5. Step 5: Solve for x
    x = 1,685,371,565,841,425,152/560,829,442.50
  6. Step 6: Final answer
    x = 3,005,141,025.28

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.