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Finding the Third Proportional to 10,107,347,258 and 21,812,803,222

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Solution

The third proportional to 10,107,347,258 and 21,812,803,222 is: 47,074,506,520.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107,347,258 : 21,812,803,222 = 21,812,803,222 : x
  2. Step 2: Convert to fraction form
    10,107,347,258/21,812,803,222 = 21,812,803,222/x
  3. Step 3: Cross multiply
    10,107,347,258x = 21,812,803,222 × 21,812,803,222
  4. Step 4: Simplify right side
    10,107,347,258x = 475,798,384,401,693,605,888
  5. Step 5: Solve for x
    x = 475,798,384,401,693,605,888/10,107,347,258
  6. Step 6: Final answer
    x = 47,074,506,520.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.