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Finding the Third Proportional to 610,919,495,232 and 1,239,258,602,752

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Solution

The third proportional to 610,919,495,232 and 1,239,258,602,752 is: 2,513,853,128,736.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,919,495,232 : 1,239,258,602,752 = 1,239,258,602,752 : x
  2. Step 2: Convert to fraction form
    610,919,495,232/1,239,258,602,752 = 1,239,258,602,752/x
  3. Step 3: Cross multiply
    610,919,495,232x = 1,239,258,602,752 × 1,239,258,602,752
  4. Step 4: Simplify right side
    610,919,495,232x = 1,535,761,884,494,839,437,852,672
  5. Step 5: Solve for x
    x = 1,535,761,884,494,839,437,852,672/610,919,495,232
  6. Step 6: Final answer
    x = 2,513,853,128,736.10

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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.