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Finding the Third Proportional to 53,683,798 and 85,142,590

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Solution

The third proportional to 53,683,798 and 85,142,590 is: 135,036,284.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,683,798 : 85,142,590 = 85,142,590 : x
  2. Step 2: Convert to fraction form
    53,683,798/85,142,590 = 85,142,590/x
  3. Step 3: Cross multiply
    53,683,798x = 85,142,590 × 85,142,590
  4. Step 4: Simplify right side
    53,683,798x = 7,249,260,631,908,100
  5. Step 5: Solve for x
    x = 7,249,260,631,908,100/53,683,798
  6. Step 6: Final answer
    x = 135,036,284.73

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.