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Finding the Third Proportional to 528,203,528 and 1,158,443,776

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Solution

The third proportional to 528,203,528 and 1,158,443,776 is: 2,540,672,129.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,203,528 : 1,158,443,776 = 1,158,443,776 : x
  2. Step 2: Convert to fraction form
    528,203,528/1,158,443,776 = 1,158,443,776/x
  3. Step 3: Cross multiply
    528,203,528x = 1,158,443,776 × 1,158,443,776
  4. Step 4: Simplify right side
    528,203,528x = 1,341,991,982,153,138,176
  5. Step 5: Solve for x
    x = 1,341,991,982,153,138,176/528,203,528
  6. Step 6: Final answer
    x = 2,540,672,129.23

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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.