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Finding the Third Proportional to 2,473,843,688 and 5,301,810,628

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Solution

The third proportional to 2,473,843,688 and 5,301,810,628 is: 11,362,559,433.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473,843,688 : 5,301,810,628 = 5,301,810,628 : x
  2. Step 2: Convert to fraction form
    2,473,843,688/5,301,810,628 = 5,301,810,628/x
  3. Step 3: Cross multiply
    2,473,843,688x = 5,301,810,628 × 5,301,810,628
  4. Step 4: Simplify right side
    2,473,843,688x = 28,109,195,935,173,754,880
  5. Step 5: Solve for x
    x = 28,109,195,935,173,754,880/2,473,843,688
  6. Step 6: Final answer
    x = 11,362,559,433.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.