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Finding the Third Proportional to 611,114,746.50 and 969,265,818

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Solution

The third proportional to 611,114,746.50 and 969,265,818 is: 1,537,315,588.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,114,746.50 : 969,265,818 = 969,265,818 : x
  2. Step 2: Convert to fraction form
    611,114,746.50/969,265,818 = 969,265,818/x
  3. Step 3: Cross multiply
    611,114,746.50x = 969,265,818 × 969,265,818
  4. Step 4: Simplify right side
    611,114,746.50x = 939,476,225,943,209,088
  5. Step 5: Solve for x
    x = 939,476,225,943,209,088/611,114,746.50
  6. Step 6: Final answer
    x = 1,537,315,588.15

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.