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Finding the Third Proportional to 298,407,380,740.88 and 649,098,822,088.14

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Solution

The third proportional to 298,407,380,740.88 and 649,098,822,088.14 is: 1,411,926,473,769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,407,380,740.88 : 649,098,822,088.14 = 649,098,822,088.14 : x
  2. Step 2: Convert to fraction form
    298,407,380,740.88/649,098,822,088.14 = 649,098,822,088.14/x
  3. Step 3: Cross multiply
    298,407,380,740.88x = 649,098,822,088.14 × 649,098,822,088.14
  4. Step 4: Simplify right side
    298,407,380,740.88x = 421,329,280,836,210,842,927,104
  5. Step 5: Solve for x
    x = 421,329,280,836,210,842,927,104/298,407,380,740.88
  6. Step 6: Final answer
    x = 1,411,926,473,769.32

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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.