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Finding the Third Proportional to 648,932,309,028 and 953,959,281,689.25

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Solution

The third proportional to 648,932,309,028 and 953,959,281,689.25 is: 1,402,362,462,864.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,932,309,028 : 953,959,281,689.25 = 953,959,281,689.25 : x
  2. Step 2: Convert to fraction form
    648,932,309,028/953,959,281,689.25 = 953,959,281,689.25/x
  3. Step 3: Cross multiply
    648,932,309,028x = 953,959,281,689.25 × 953,959,281,689.25
  4. Step 4: Simplify right side
    648,932,309,028x = 910,038,311,121,069,847,609,344
  5. Step 5: Solve for x
    x = 910,038,311,121,069,847,609,344/648,932,309,028
  6. Step 6: Final answer
    x = 1,402,362,462,864.83

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.