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Finding the Third Proportional to 476,047,386 and 735,613,929

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Solution

The third proportional to 476,047,386 and 735,613,929 is: 1,136,710,059.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,047,386 : 735,613,929 = 735,613,929 : x
  2. Step 2: Convert to fraction form
    476,047,386/735,613,929 = 735,613,929/x
  3. Step 3: Cross multiply
    476,047,386x = 735,613,929 × 735,613,929
  4. Step 4: Simplify right side
    476,047,386x = 541,127,852,538,817,024
  5. Step 5: Solve for x
    x = 541,127,852,538,817,024/476,047,386
  6. Step 6: Final answer
    x = 1,136,710,059.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.