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Finding the Third Proportional to 714,102,951 and 1,102,990,875

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Solution

The third proportional to 714,102,951 and 1,102,990,875 is: 1,703,660,331.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,102,951 : 1,102,990,875 = 1,102,990,875 : x
  2. Step 2: Convert to fraction form
    714,102,951/1,102,990,875 = 1,102,990,875/x
  3. Step 3: Cross multiply
    714,102,951x = 1,102,990,875 × 1,102,990,875
  4. Step 4: Simplify right side
    714,102,951x = 1,216,588,870,333,265,664
  5. Step 5: Solve for x
    x = 1,216,588,870,333,265,664/714,102,951
  6. Step 6: Final answer
    x = 1,703,660,331.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.