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Finding the Third Proportional to 5,526,746,864 and 7,903,313,076

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Solution

The third proportional to 5,526,746,864 and 7,903,313,076 is: 11,301,830,735.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,526,746,864 : 7,903,313,076 = 7,903,313,076 : x
  2. Step 2: Convert to fraction form
    5,526,746,864/7,903,313,076 = 7,903,313,076/x
  3. Step 3: Cross multiply
    5,526,746,864x = 7,903,313,076 × 7,903,313,076
  4. Step 4: Simplify right side
    5,526,746,864x = 62,462,357,577,272,582,144
  5. Step 5: Solve for x
    x = 62,462,357,577,272,582,144/5,526,746,864
  6. Step 6: Final answer
    x = 11,301,830,735.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.