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Finding the Third Proportional to 1,036,985,951 and 1,516,109,707

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Solution

The third proportional to 1,036,985,951 and 1,516,109,707 is: 2,216,605,385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,985,951 : 1,516,109,707 = 1,516,109,707 : x
  2. Step 2: Convert to fraction form
    1,036,985,951/1,516,109,707 = 1,516,109,707/x
  3. Step 3: Cross multiply
    1,036,985,951x = 1,516,109,707 × 1,516,109,707
  4. Step 4: Simplify right side
    1,036,985,951x = 2,298,588,643,659,625,728
  5. Step 5: Solve for x
    x = 2,298,588,643,659,625,728/1,036,985,951
  6. Step 6: Final answer
    x = 2,216,605,385.49

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.