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Finding the Third Proportional to 495,290,070 and 1,079,573,364

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Solution

The third proportional to 495,290,070 and 1,079,573,364 is: 2,353,123,389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,290,070 : 1,079,573,364 = 1,079,573,364 : x
  2. Step 2: Convert to fraction form
    495,290,070/1,079,573,364 = 1,079,573,364/x
  3. Step 3: Cross multiply
    495,290,070x = 1,079,573,364 × 1,079,573,364
  4. Step 4: Simplify right side
    495,290,070x = 1,165,478,648,258,276,608
  5. Step 5: Solve for x
    x = 1,165,478,648,258,276,608/495,290,070
  6. Step 6: Final answer
    x = 2,353,123,389.41

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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.