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Finding the Third Proportional to 1,026,762,412 and 2,241,676,808

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Solution

The third proportional to 1,026,762,412 and 2,241,676,808 is: 4,894,136,026.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,762,412 : 2,241,676,808 = 2,241,676,808 : x
  2. Step 2: Convert to fraction form
    1,026,762,412/2,241,676,808 = 2,241,676,808/x
  3. Step 3: Cross multiply
    1,026,762,412x = 2,241,676,808 × 2,241,676,808
  4. Step 4: Simplify right side
    1,026,762,412x = 5,025,114,911,525,068,800
  5. Step 5: Solve for x
    x = 5,025,114,911,525,068,800/1,026,762,412
  6. Step 6: Final answer
    x = 4,894,136,026.79

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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.