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Finding the Third Proportional to 1,015,655,598.50 and 1,430,266,892.25

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Solution

The third proportional to 1,015,655,598.50 and 1,430,266,892.25 is: 2,014,130,957.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015,655,598.50 : 1,430,266,892.25 = 1,430,266,892.25 : x
  2. Step 2: Convert to fraction form
    1,015,655,598.50/1,430,266,892.25 = 1,430,266,892.25/x
  3. Step 3: Cross multiply
    1,015,655,598.50x = 1,430,266,892.25 × 1,430,266,892.25
  4. Step 4: Simplify right side
    1,015,655,598.50x = 2,045,663,383,066,473,216
  5. Step 5: Solve for x
    x = 2,045,663,383,066,473,216/1,015,655,598.50
  6. Step 6: Final answer
    x = 2,014,130,957.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.