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Finding the Third Proportional to 710,499,660,915 and 1,551,196,783,302

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Solution

The third proportional to 710,499,660,915 and 1,551,196,783,302 is: 3,386,646,880,911.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,499,660,915 : 1,551,196,783,302 = 1,551,196,783,302 : x
  2. Step 2: Convert to fraction form
    710,499,660,915/1,551,196,783,302 = 1,551,196,783,302/x
  3. Step 3: Cross multiply
    710,499,660,915x = 1,551,196,783,302 × 1,551,196,783,302
  4. Step 4: Simplify right side
    710,499,660,915x = 2,406,211,460,526,471,993,360,384
  5. Step 5: Solve for x
    x = 2,406,211,460,526,471,993,360,384/710,499,660,915
  6. Step 6: Final answer
    x = 3,386,646,880,911.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.