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Finding the Third Proportional to 279,306,488,560 and 612,688,152,032

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Solution

The third proportional to 279,306,488,560 and 612,688,152,032 is: 1,343,995,886,295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,306,488,560 : 612,688,152,032 = 612,688,152,032 : x
  2. Step 2: Convert to fraction form
    279,306,488,560/612,688,152,032 = 612,688,152,032/x
  3. Step 3: Cross multiply
    279,306,488,560x = 612,688,152,032 × 612,688,152,032
  4. Step 4: Simplify right side
    279,306,488,560x = 375,386,771,640,387,157,098,496
  5. Step 5: Solve for x
    x = 375,386,771,640,387,157,098,496/279,306,488,560
  6. Step 6: Final answer
    x = 1,343,995,886,295.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.