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Finding the Third Proportional to 29,258,165,430 and 64,106,027,100

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Solution

The third proportional to 29,258,165,430 and 64,106,027,100 is: 140,459,343,576.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,258,165,430 : 64,106,027,100 = 64,106,027,100 : x
  2. Step 2: Convert to fraction form
    29,258,165,430/64,106,027,100 = 64,106,027,100/x
  3. Step 3: Cross multiply
    29,258,165,430x = 64,106,027,100 × 64,106,027,100
  4. Step 4: Simplify right side
    29,258,165,430x = 4,109,582,710,545,934,450,688
  5. Step 5: Solve for x
    x = 4,109,582,710,545,934,450,688/29,258,165,430
  6. Step 6: Final answer
    x = 140,459,343,576.35

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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.