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Finding the Third Proportional to 1,615,386,434 and 3,457,696,273

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Solution

The third proportional to 1,615,386,434 and 3,457,696,273 is: 7,401,116,701.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615,386,434 : 3,457,696,273 = 3,457,696,273 : x
  2. Step 2: Convert to fraction form
    1,615,386,434/3,457,696,273 = 3,457,696,273/x
  3. Step 3: Cross multiply
    1,615,386,434x = 3,457,696,273 × 3,457,696,273
  4. Step 4: Simplify right side
    1,615,386,434x = 11,955,663,516,318,091,264
  5. Step 5: Solve for x
    x = 11,955,663,516,318,091,264/1,615,386,434
  6. Step 6: Final answer
    x = 7,401,116,701.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.