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Finding the Third Proportional to 298,411,854 and 642,173,358

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Solution

The third proportional to 298,411,854 and 642,173,358 is: 1,381,937,802.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,411,854 : 642,173,358 = 642,173,358 : x
  2. Step 2: Convert to fraction form
    298,411,854/642,173,358 = 642,173,358/x
  3. Step 3: Cross multiply
    298,411,854x = 642,173,358 × 642,173,358
  4. Step 4: Simplify right side
    298,411,854x = 412,386,621,724,996,160
  5. Step 5: Solve for x
    x = 412,386,621,724,996,160/298,411,854
  6. Step 6: Final answer
    x = 1,381,937,802.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.