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Finding the Third Proportional to 5,463,547,428 and 11,755,742,712

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Solution

The third proportional to 5,463,547,428 and 11,755,742,712 is: 25,294,460,884.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463,547,428 : 11,755,742,712 = 11,755,742,712 : x
  2. Step 2: Convert to fraction form
    5,463,547,428/11,755,742,712 = 11,755,742,712/x
  3. Step 3: Cross multiply
    5,463,547,428x = 11,755,742,712 × 11,755,742,712
  4. Step 4: Simplify right side
    5,463,547,428x = 138,197,486,710,741,123,072
  5. Step 5: Solve for x
    x = 138,197,486,710,741,123,072/5,463,547,428
  6. Step 6: Final answer
    x = 25,294,460,884.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.