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Finding the Third Proportional to 376,967,740,386 and 528,960,363,786

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Solution

The third proportional to 376,967,740,386 and 528,960,363,786 is: 742,236,102,670.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,967,740,386 : 528,960,363,786 = 528,960,363,786 : x
  2. Step 2: Convert to fraction form
    376,967,740,386/528,960,363,786 = 528,960,363,786/x
  3. Step 3: Cross multiply
    376,967,740,386x = 528,960,363,786 × 528,960,363,786
  4. Step 4: Simplify right side
    376,967,740,386x = 279,799,066,456,617,457,287,168
  5. Step 5: Solve for x
    x = 279,799,066,456,617,457,287,168/376,967,740,386
  6. Step 6: Final answer
    x = 742,236,102,670.52

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.