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Finding the Third Proportional to 45,269,506,048,252 and 98,470,697,637,822

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Solution

The third proportional to 45,269,506,048,252 and 98,470,697,637,822 is: 214,194,479,677,866.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,269,506,048,252 : 98,470,697,637,822 = 98,470,697,637,822 : x
  2. Step 2: Convert to fraction form
    45,269,506,048,252/98,470,697,637,822 = 98,470,697,637,822/x
  3. Step 3: Cross multiply
    45,269,506,048,252x = 98,470,697,637,822 × 98,470,697,637,822
  4. Step 4: Simplify right side
    45,269,506,048,252x = 9,696,478,293,279,363,613,130,227,712
  5. Step 5: Solve for x
    x = 9,696,478,293,279,363,613,130,227,712/45,269,506,048,252
  6. Step 6: Final answer
    x = 214,194,479,677,866.41

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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.