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Finding the Third Proportional to 610,919,495,688 and 1,239,258,603,840

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Solution

The third proportional to 610,919,495,688 and 1,239,258,603,840 is: 2,513,853,131,273.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,919,495,688 : 1,239,258,603,840 = 1,239,258,603,840 : x
  2. Step 2: Convert to fraction form
    610,919,495,688/1,239,258,603,840 = 1,239,258,603,840/x
  3. Step 3: Cross multiply
    610,919,495,688x = 1,239,258,603,840 × 1,239,258,603,840
  4. Step 4: Simplify right side
    610,919,495,688x = 1,535,761,887,191,466,061,594,624
  5. Step 5: Solve for x
    x = 1,535,761,887,191,466,061,594,624/610,919,495,688
  6. Step 6: Final answer
    x = 2,513,853,131,273.76

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.