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Finding the Third Proportional to 24,159,329,434,020 and 52,996,029,464,688

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Solution

The third proportional to 24,159,329,434,020 and 52,996,029,464,688 is: 116,252,363,158,191.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,159,329,434,020 : 52,996,029,464,688 = 52,996,029,464,688 : x
  2. Step 2: Convert to fraction form
    24,159,329,434,020/52,996,029,464,688 = 52,996,029,464,688/x
  3. Step 3: Cross multiply
    24,159,329,434,020x = 52,996,029,464,688 × 52,996,029,464,688
  4. Step 4: Simplify right side
    24,159,329,434,020x = 2,808,579,139,022,078,672,925,360,128
  5. Step 5: Solve for x
    x = 2,808,579,139,022,078,672,925,360,128/24,159,329,434,020
  6. Step 6: Final answer
    x = 116,252,363,158,191.52

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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.