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Finding the Third Proportional to 5,046,758,416 and 11,044,902,688

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Solution

The third proportional to 5,046,758,416 and 11,044,902,688 is: 24,171,926,875.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046,758,416 : 11,044,902,688 = 11,044,902,688 : x
  2. Step 2: Convert to fraction form
    5,046,758,416/11,044,902,688 = 11,044,902,688/x
  3. Step 3: Cross multiply
    5,046,758,416x = 11,044,902,688 × 11,044,902,688
  4. Step 4: Simplify right side
    5,046,758,416x = 121,989,875,387,389,624,320
  5. Step 5: Solve for x
    x = 121,989,875,387,389,624,320/5,046,758,416
  6. Step 6: Final answer
    x = 24,171,926,875.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.