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Finding the Third Proportional to 2,473,460,117 and 5,391,362,362

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Solution

The third proportional to 2,473,460,117 and 5,391,362,362 is: 11,751,468,284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473,460,117 : 5,391,362,362 = 5,391,362,362 : x
  2. Step 2: Convert to fraction form
    2,473,460,117/5,391,362,362 = 5,391,362,362/x
  3. Step 3: Cross multiply
    2,473,460,117x = 5,391,362,362 × 5,391,362,362
  4. Step 4: Simplify right side
    2,473,460,117x = 29,066,788,118,390,218,752
  5. Step 5: Solve for x
    x = 29,066,788,118,390,218,752/2,473,460,117
  6. Step 6: Final answer
    x = 11,751,468,284.70

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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.